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Simplifying 5 + 5(x + -9) = 8 + -5(x + -2) Reorder the terms: 5 + 5(-9 + x) = 8 + -5(x + -2) 5 + (-9 * 5 + x * 5) = 8 + -5(x + -2) 5 + (-45 + 5x) = 8 + -5(x + -2) Combine like terms: 5 + -45 = -40 -40 + 5x = 8 + -5(x + -2) Reorder the terms: -40 + 5x = 8 + -5(-2 + x) -40 + 5x = 8 + (-2 * -5 + x * -5) -40 + 5x = 8 + (10 + -5x) Combine like terms: 8 + 10 = 18 -40 + 5x = 18 + -5x Solving -40 + 5x = 18 + -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 + 5x + 5x = 18 + -5x + 5x Combine like terms: 5x + 5x = 10x -40 + 10x = 18 + -5x + 5x Combine like terms: -5x + 5x = 0 -40 + 10x = 18 + 0 -40 + 10x = 18 Add '40' to each side of the equation. -40 + 40 + 10x = 18 + 40 Combine like terms: -40 + 40 = 0 0 + 10x = 18 + 40 10x = 18 + 40 Combine like terms: 18 + 40 = 58 10x = 58 Divide each side by '10'. x = 5.8 Simplifying x = 5.8
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