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Simplifying 9 + -1(41 + -4) + 4(x + -3 + 9(14 + -24) + 2(2 + -2x)) = 124 + -3(13 + -1(4 + -1x)) Combine like terms: 41 + -4 = 37 9 + -1(37) + 4(x + -3 + 9(14 + -24) + 2(2 + -2x)) = 124 + -3(13 + -1(4 + -1x)) Multiply -1 * 37 9 + -37 + 4(x + -3 + 9(14 + -24) + 2(2 + -2x)) = 124 + -3(13 + -1(4 + -1x)) Combine like terms: 14 + -24 = -10 9 + -37 + 4(x + -3 + 9(-10) + 2(2 + -2x)) = 124 + -3(13 + -1(4 + -1x)) Multiply 9 * -10 9 + -37 + 4(x + -3 + -90 + 2(2 + -2x)) = 124 + -3(13 + -1(4 + -1x)) 9 + -37 + 4(x + -3 + -90 + (2 * 2 + -2x * 2)) = 124 + -3(13 + -1(4 + -1x)) 9 + -37 + 4(x + -3 + -90 + (4 + -4x)) = 124 + -3(13 + -1(4 + -1x)) Reorder the terms: 9 + -37 + 4(-3 + -90 + 4 + x + -4x) = 124 + -3(13 + -1(4 + -1x)) Combine like terms: -3 + -90 = -93 9 + -37 + 4(-93 + 4 + x + -4x) = 124 + -3(13 + -1(4 + -1x)) Combine like terms: -93 + 4 = -89 9 + -37 + 4(-89 + x + -4x) = 124 + -3(13 + -1(4 + -1x)) Combine like terms: x + -4x = -3x 9 + -37 + 4(-89 + -3x) = 124 + -3(13 + -1(4 + -1x)) 9 + -37 + (-89 * 4 + -3x * 4) = 124 + -3(13 + -1(4 + -1x)) 9 + -37 + (-356 + -12x) = 124 + -3(13 + -1(4 + -1x)) Combine like terms: 9 + -37 = -28 -28 + -356 + -12x = 124 + -3(13 + -1(4 + -1x)) Combine like terms: -28 + -356 = -384 -384 + -12x = 124 + -3(13 + -1(4 + -1x)) -384 + -12x = 124 + -3(13 + (4 * -1 + -1x * -1)) -384 + -12x = 124 + -3(13 + (-4 + 1x)) Combine like terms: 13 + -4 = 9 -384 + -12x = 124 + -3(9 + 1x) -384 + -12x = 124 + (9 * -3 + 1x * -3) -384 + -12x = 124 + (-27 + -3x) Combine like terms: 124 + -27 = 97 -384 + -12x = 97 + -3x Solving -384 + -12x = 97 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -384 + -12x + 3x = 97 + -3x + 3x Combine like terms: -12x + 3x = -9x -384 + -9x = 97 + -3x + 3x Combine like terms: -3x + 3x = 0 -384 + -9x = 97 + 0 -384 + -9x = 97 Add '384' to each side of the equation. -384 + 384 + -9x = 97 + 384 Combine like terms: -384 + 384 = 0 0 + -9x = 97 + 384 -9x = 97 + 384 Combine like terms: 97 + 384 = 481 -9x = 481 Divide each side by '-9'. x = -53.44444444 Simplifying x = -53.44444444
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