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Simplifying 2(x + -1) + -4(2x + 3) = 3(5 + -1x) Reorder the terms: 2(-1 + x) + -4(2x + 3) = 3(5 + -1x) (-1 * 2 + x * 2) + -4(2x + 3) = 3(5 + -1x) (-2 + 2x) + -4(2x + 3) = 3(5 + -1x) Reorder the terms: -2 + 2x + -4(3 + 2x) = 3(5 + -1x) -2 + 2x + (3 * -4 + 2x * -4) = 3(5 + -1x) -2 + 2x + (-12 + -8x) = 3(5 + -1x) Reorder the terms: -2 + -12 + 2x + -8x = 3(5 + -1x) Combine like terms: -2 + -12 = -14 -14 + 2x + -8x = 3(5 + -1x) Combine like terms: 2x + -8x = -6x -14 + -6x = 3(5 + -1x) -14 + -6x = (5 * 3 + -1x * 3) -14 + -6x = (15 + -3x) Solving -14 + -6x = 15 + -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. -14 + -6x + 3x = 15 + -3x + 3x Combine like terms: -6x + 3x = -3x -14 + -3x = 15 + -3x + 3x Combine like terms: -3x + 3x = 0 -14 + -3x = 15 + 0 -14 + -3x = 15 Add '14' to each side of the equation. -14 + 14 + -3x = 15 + 14 Combine like terms: -14 + 14 = 0 0 + -3x = 15 + 14 -3x = 15 + 14 Combine like terms: 15 + 14 = 29 -3x = 29 Divide each side by '-3'. x = -9.666666667 Simplifying x = -9.666666667
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