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Simplifying -8(x + -4) + 2x = (x + -8) + -2x Reorder the terms: -8(-4 + x) + 2x = (x + -8) + -2x (-4 * -8 + x * -8) + 2x = (x + -8) + -2x (32 + -8x) + 2x = (x + -8) + -2x Combine like terms: -8x + 2x = -6x 32 + -6x = (x + -8) + -2x Reorder the terms: 32 + -6x = (-8 + x) + -2x Remove parenthesis around (-8 + x) 32 + -6x = -8 + x + -2x Combine like terms: x + -2x = -1x 32 + -6x = -8 + -1x Solving 32 + -6x = -8 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 32 + -6x + x = -8 + -1x + x Combine like terms: -6x + x = -5x 32 + -5x = -8 + -1x + x Combine like terms: -1x + x = 0 32 + -5x = -8 + 0 32 + -5x = -8 Add '-32' to each side of the equation. 32 + -32 + -5x = -8 + -32 Combine like terms: 32 + -32 = 0 0 + -5x = -8 + -32 -5x = -8 + -32 Combine like terms: -8 + -32 = -40 -5x = -40 Divide each side by '-5'. x = 8 Simplifying x = 8
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