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Simplifying 5(1 + x) = 9(x + -5) (1 * 5 + x * 5) = 9(x + -5) (5 + 5x) = 9(x + -5) Reorder the terms: 5 + 5x = 9(-5 + x) 5 + 5x = (-5 * 9 + x * 9) 5 + 5x = (-45 + 9x) Solving 5 + 5x = -45 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 5 + 5x + -9x = -45 + 9x + -9x Combine like terms: 5x + -9x = -4x 5 + -4x = -45 + 9x + -9x Combine like terms: 9x + -9x = 0 5 + -4x = -45 + 0 5 + -4x = -45 Add '-5' to each side of the equation. 5 + -5 + -4x = -45 + -5 Combine like terms: 5 + -5 = 0 0 + -4x = -45 + -5 -4x = -45 + -5 Combine like terms: -45 + -5 = -50 -4x = -50 Divide each side by '-4'. x = 12.5 Simplifying x = 12.5
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