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Simplifying 10(x + 5) = 2(x + 45) Reorder the terms: 10(5 + x) = 2(x + 45) (5 * 10 + x * 10) = 2(x + 45) (50 + 10x) = 2(x + 45) Reorder the terms: 50 + 10x = 2(45 + x) 50 + 10x = (45 * 2 + x * 2) 50 + 10x = (90 + 2x) Solving 50 + 10x = 90 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 50 + 10x + -2x = 90 + 2x + -2x Combine like terms: 10x + -2x = 8x 50 + 8x = 90 + 2x + -2x Combine like terms: 2x + -2x = 0 50 + 8x = 90 + 0 50 + 8x = 90 Add '-50' to each side of the equation. 50 + -50 + 8x = 90 + -50 Combine like terms: 50 + -50 = 0 0 + 8x = 90 + -50 8x = 90 + -50 Combine like terms: 90 + -50 = 40 8x = 40 Divide each side by '8'. x = 5 Simplifying x = 5
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