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Simplifying 10 + -2x = 5(x + 9) Reorder the terms: 10 + -2x = 5(9 + x) 10 + -2x = (9 * 5 + x * 5) 10 + -2x = (45 + 5x) Solving 10 + -2x = 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. 10 + -2x + -5x = 45 + 5x + -5x Combine like terms: -2x + -5x = -7x 10 + -7x = 45 + 5x + -5x Combine like terms: 5x + -5x = 0 10 + -7x = 45 + 0 10 + -7x = 45 Add '-10' to each side of the equation. 10 + -10 + -7x = 45 + -10 Combine like terms: 10 + -10 = 0 0 + -7x = 45 + -10 -7x = 45 + -10 Combine like terms: 45 + -10 = 35 -7x = 35 Divide each side by '-7'. x = -5 Simplifying x = -5
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