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Simplifying 9x + -5(x + -8) = 5(x + 9) Reorder the terms: 9x + -5(-8 + x) = 5(x + 9) 9x + (-8 * -5 + x * -5) = 5(x + 9) 9x + (40 + -5x) = 5(x + 9) Reorder the terms: 40 + 9x + -5x = 5(x + 9) Combine like terms: 9x + -5x = 4x 40 + 4x = 5(x + 9) Reorder the terms: 40 + 4x = 5(9 + x) 40 + 4x = (9 * 5 + x * 5) 40 + 4x = (45 + 5x) Solving 40 + 4x = 45 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 40 + 4x + -5x = 45 + 5x + -5x Combine like terms: 4x + -5x = -1x 40 + -1x = 45 + 5x + -5x Combine like terms: 5x + -5x = 0 40 + -1x = 45 + 0 40 + -1x = 45 Add '-40' to each side of the equation. 40 + -40 + -1x = 45 + -40 Combine like terms: 40 + -40 = 0 0 + -1x = 45 + -40 -1x = 45 + -40 Combine like terms: 45 + -40 = 5 -1x = 5 Divide each side by '-1'. x = -5 Simplifying x = -5
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