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Simplifying 4(2x + 1) + -6(3x + 2) + -2(x + -1) = 3(4 + 7) Reorder the terms: 4(1 + 2x) + -6(3x + 2) + -2(x + -1) = 3(4 + 7) (1 * 4 + 2x * 4) + -6(3x + 2) + -2(x + -1) = 3(4 + 7) (4 + 8x) + -6(3x + 2) + -2(x + -1) = 3(4 + 7) Reorder the terms: 4 + 8x + -6(2 + 3x) + -2(x + -1) = 3(4 + 7) 4 + 8x + (2 * -6 + 3x * -6) + -2(x + -1) = 3(4 + 7) 4 + 8x + (-12 + -18x) + -2(x + -1) = 3(4 + 7) Reorder the terms: 4 + 8x + -12 + -18x + -2(-1 + x) = 3(4 + 7) 4 + 8x + -12 + -18x + (-1 * -2 + x * -2) = 3(4 + 7) 4 + 8x + -12 + -18x + (2 + -2x) = 3(4 + 7) Reorder the terms: 4 + -12 + 2 + 8x + -18x + -2x = 3(4 + 7) Combine like terms: 4 + -12 = -8 -8 + 2 + 8x + -18x + -2x = 3(4 + 7) Combine like terms: -8 + 2 = -6 -6 + 8x + -18x + -2x = 3(4 + 7) Combine like terms: 8x + -18x = -10x -6 + -10x + -2x = 3(4 + 7) Combine like terms: -10x + -2x = -12x -6 + -12x = 3(4 + 7) Combine like terms: 4 + 7 = 11 -6 + -12x = 3(11) Multiply 3 * 11 -6 + -12x = 33 Solving -6 + -12x = 33 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + -12x = 33 + 6 Combine like terms: -6 + 6 = 0 0 + -12x = 33 + 6 -12x = 33 + 6 Combine like terms: 33 + 6 = 39 -12x = 39 Divide each side by '-12'. x = -3.25 Simplifying x = -3.25
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