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Simplifying 2(x + 8) = 5(2x + -5) Reorder the terms: 2(8 + x) = 5(2x + -5) (8 * 2 + x * 2) = 5(2x + -5) (16 + 2x) = 5(2x + -5) Reorder the terms: 16 + 2x = 5(-5 + 2x) 16 + 2x = (-5 * 5 + 2x * 5) 16 + 2x = (-25 + 10x) Solving 16 + 2x = -25 + 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 + 2x + -10x = -25 + 10x + -10x Combine like terms: 2x + -10x = -8x 16 + -8x = -25 + 10x + -10x Combine like terms: 10x + -10x = 0 16 + -8x = -25 + 0 16 + -8x = -25 Add '-16' to each side of the equation. 16 + -16 + -8x = -25 + -16 Combine like terms: 16 + -16 = 0 0 + -8x = -25 + -16 -8x = -25 + -16 Combine like terms: -25 + -16 = -41 -8x = -41 Divide each side by '-8'. x = 5.125 Simplifying x = 5.125
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