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Simplifying 3(2x + -4) + -2 = 5x + -1(3 + -4x) Reorder the terms: 3(-4 + 2x) + -2 = 5x + -1(3 + -4x) (-4 * 3 + 2x * 3) + -2 = 5x + -1(3 + -4x) (-12 + 6x) + -2 = 5x + -1(3 + -4x) Reorder the terms: -12 + -2 + 6x = 5x + -1(3 + -4x) Combine like terms: -12 + -2 = -14 -14 + 6x = 5x + -1(3 + -4x) -14 + 6x = 5x + (3 * -1 + -4x * -1) -14 + 6x = 5x + (-3 + 4x) Reorder the terms: -14 + 6x = -3 + 5x + 4x Combine like terms: 5x + 4x = 9x -14 + 6x = -3 + 9x Solving -14 + 6x = -3 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -14 + 6x + -9x = -3 + 9x + -9x Combine like terms: 6x + -9x = -3x -14 + -3x = -3 + 9x + -9x Combine like terms: 9x + -9x = 0 -14 + -3x = -3 + 0 -14 + -3x = -3 Add '14' to each side of the equation. -14 + 14 + -3x = -3 + 14 Combine like terms: -14 + 14 = 0 0 + -3x = -3 + 14 -3x = -3 + 14 Combine like terms: -3 + 14 = 11 -3x = 11 Divide each side by '-3'. x = -3.666666667 Simplifying x = -3.666666667
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