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Simplifying 4(x + -1) + -3(2x + 3) = -1(1 + -1x) + 9 Reorder the terms: 4(-1 + x) + -3(2x + 3) = -1(1 + -1x) + 9 (-1 * 4 + x * 4) + -3(2x + 3) = -1(1 + -1x) + 9 (-4 + 4x) + -3(2x + 3) = -1(1 + -1x) + 9 Reorder the terms: -4 + 4x + -3(3 + 2x) = -1(1 + -1x) + 9 -4 + 4x + (3 * -3 + 2x * -3) = -1(1 + -1x) + 9 -4 + 4x + (-9 + -6x) = -1(1 + -1x) + 9 Reorder the terms: -4 + -9 + 4x + -6x = -1(1 + -1x) + 9 Combine like terms: -4 + -9 = -13 -13 + 4x + -6x = -1(1 + -1x) + 9 Combine like terms: 4x + -6x = -2x -13 + -2x = -1(1 + -1x) + 9 -13 + -2x = (1 * -1 + -1x * -1) + 9 -13 + -2x = (-1 + 1x) + 9 Reorder the terms: -13 + -2x = -1 + 9 + 1x Combine like terms: -1 + 9 = 8 -13 + -2x = 8 + 1x Solving -13 + -2x = 8 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -13 + -2x + -1x = 8 + 1x + -1x Combine like terms: -2x + -1x = -3x -13 + -3x = 8 + 1x + -1x Combine like terms: 1x + -1x = 0 -13 + -3x = 8 + 0 -13 + -3x = 8 Add '13' to each side of the equation. -13 + 13 + -3x = 8 + 13 Combine like terms: -13 + 13 = 0 0 + -3x = 8 + 13 -3x = 8 + 13 Combine like terms: 8 + 13 = 21 -3x = 21 Divide each side by '-3'. x = -7 Simplifying x = -7
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