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Simplifying 8(x + -8) = 2(x + -2) Reorder the terms: 8(-8 + x) = 2(x + -2) (-8 * 8 + x * 8) = 2(x + -2) (-64 + 8x) = 2(x + -2) Reorder the terms: -64 + 8x = 2(-2 + x) -64 + 8x = (-2 * 2 + x * 2) -64 + 8x = (-4 + 2x) Solving -64 + 8x = -4 + 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. -64 + 8x + -2x = -4 + 2x + -2x Combine like terms: 8x + -2x = 6x -64 + 6x = -4 + 2x + -2x Combine like terms: 2x + -2x = 0 -64 + 6x = -4 + 0 -64 + 6x = -4 Add '64' to each side of the equation. -64 + 64 + 6x = -4 + 64 Combine like terms: -64 + 64 = 0 0 + 6x = -4 + 64 6x = -4 + 64 Combine like terms: -4 + 64 = 60 6x = 60 Divide each side by '6'. x = 10 Simplifying x = 10
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