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Simplifying 8(x + -2) = 5(2x + -8) Reorder the terms: 8(-2 + x) = 5(2x + -8) (-2 * 8 + x * 8) = 5(2x + -8) (-16 + 8x) = 5(2x + -8) Reorder the terms: -16 + 8x = 5(-8 + 2x) -16 + 8x = (-8 * 5 + 2x * 5) -16 + 8x = (-40 + 10x) Solving -16 + 8x = -40 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -16 + 8x + -10x = -40 + 10x + -10x Combine like terms: 8x + -10x = -2x -16 + -2x = -40 + 10x + -10x Combine like terms: 10x + -10x = 0 -16 + -2x = -40 + 0 -16 + -2x = -40 Add '16' to each side of the equation. -16 + 16 + -2x = -40 + 16 Combine like terms: -16 + 16 = 0 0 + -2x = -40 + 16 -2x = -40 + 16 Combine like terms: -40 + 16 = -24 -2x = -24 Divide each side by '-2'. x = 12 Simplifying x = 12
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