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Simplifying 3(2x + -4) + 2(5 + -1x) = -2(x + 4) Reorder the terms: 3(-4 + 2x) + 2(5 + -1x) = -2(x + 4) (-4 * 3 + 2x * 3) + 2(5 + -1x) = -2(x + 4) (-12 + 6x) + 2(5 + -1x) = -2(x + 4) -12 + 6x + (5 * 2 + -1x * 2) = -2(x + 4) -12 + 6x + (10 + -2x) = -2(x + 4) Reorder the terms: -12 + 10 + 6x + -2x = -2(x + 4) Combine like terms: -12 + 10 = -2 -2 + 6x + -2x = -2(x + 4) Combine like terms: 6x + -2x = 4x -2 + 4x = -2(x + 4) Reorder the terms: -2 + 4x = -2(4 + x) -2 + 4x = (4 * -2 + x * -2) -2 + 4x = (-8 + -2x) Solving -2 + 4x = -8 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -2 + 4x + 2x = -8 + -2x + 2x Combine like terms: 4x + 2x = 6x -2 + 6x = -8 + -2x + 2x Combine like terms: -2x + 2x = 0 -2 + 6x = -8 + 0 -2 + 6x = -8 Add '2' to each side of the equation. -2 + 2 + 6x = -8 + 2 Combine like terms: -2 + 2 = 0 0 + 6x = -8 + 2 6x = -8 + 2 Combine like terms: -8 + 2 = -6 6x = -6 Divide each side by '6'. x = -1 Simplifying x = -1
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