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Simplifying -2(x + -4) + 5x = -2(-6x + 6) + -5x Reorder the terms: -2(-4 + x) + 5x = -2(-6x + 6) + -5x (-4 * -2 + x * -2) + 5x = -2(-6x + 6) + -5x (8 + -2x) + 5x = -2(-6x + 6) + -5x Combine like terms: -2x + 5x = 3x 8 + 3x = -2(-6x + 6) + -5x Reorder the terms: 8 + 3x = -2(6 + -6x) + -5x 8 + 3x = (6 * -2 + -6x * -2) + -5x 8 + 3x = (-12 + 12x) + -5x Combine like terms: 12x + -5x = 7x 8 + 3x = -12 + 7x Solving 8 + 3x = -12 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 8 + 3x + -7x = -12 + 7x + -7x Combine like terms: 3x + -7x = -4x 8 + -4x = -12 + 7x + -7x Combine like terms: 7x + -7x = 0 8 + -4x = -12 + 0 8 + -4x = -12 Add '-8' to each side of the equation. 8 + -8 + -4x = -12 + -8 Combine like terms: 8 + -8 = 0 0 + -4x = -12 + -8 -4x = -12 + -8 Combine like terms: -12 + -8 = -20 -4x = -20 Divide each side by '-4'. x = 5 Simplifying x = 5
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