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Simplifying 9(2x + 8) = 200 + -10(x + 5) Reorder the terms: 9(8 + 2x) = 200 + -10(x + 5) (8 * 9 + 2x * 9) = 200 + -10(x + 5) (72 + 18x) = 200 + -10(x + 5) Reorder the terms: 72 + 18x = 200 + -10(5 + x) 72 + 18x = 200 + (5 * -10 + x * -10) 72 + 18x = 200 + (-50 + -10x) Combine like terms: 200 + -50 = 150 72 + 18x = 150 + -10x Solving 72 + 18x = 150 + -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. 72 + 18x + 10x = 150 + -10x + 10x Combine like terms: 18x + 10x = 28x 72 + 28x = 150 + -10x + 10x Combine like terms: -10x + 10x = 0 72 + 28x = 150 + 0 72 + 28x = 150 Add '-72' to each side of the equation. 72 + -72 + 28x = 150 + -72 Combine like terms: 72 + -72 = 0 0 + 28x = 150 + -72 28x = 150 + -72 Combine like terms: 150 + -72 = 78 28x = 78 Divide each side by '28'. x = 2.785714286 Simplifying x = 2.785714286
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