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Simplifying 8(x + -2) = 5(2x + -4) Reorder the terms: 8(-2 + x) = 5(2x + -4) (-2 * 8 + x * 8) = 5(2x + -4) (-16 + 8x) = 5(2x + -4) Reorder the terms: -16 + 8x = 5(-4 + 2x) -16 + 8x = (-4 * 5 + 2x * 5) -16 + 8x = (-20 + 10x) Solving -16 + 8x = -20 + 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 = -20 + 10x + -10x Combine like terms: 8x + -10x = -2x -16 + -2x = -20 + 10x + -10x Combine like terms: 10x + -10x = 0 -16 + -2x = -20 + 0 -16 + -2x = -20 Add '16' to each side of the equation. -16 + 16 + -2x = -20 + 16 Combine like terms: -16 + 16 = 0 0 + -2x = -20 + 16 -2x = -20 + 16 Combine like terms: -20 + 16 = -4 -2x = -4 Divide each side by '-2'. x = 2 Simplifying x = 2
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