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Simplifying 5(3 + -2) = 10(x + 1) Combine like terms: 3 + -2 = 1 5(1) = 10(x + 1) Multiply 5 * 1 5 = 10(x + 1) Reorder the terms: 5 = 10(1 + x) 5 = (1 * 10 + x * 10) 5 = (10 + 10x) Solving 5 = 10 + 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. 5 + -10x = 10 + 10x + -10x Combine like terms: 10x + -10x = 0 5 + -10x = 10 + 0 5 + -10x = 10 Add '-5' to each side of the equation. 5 + -5 + -10x = 10 + -5 Combine like terms: 5 + -5 = 0 0 + -10x = 10 + -5 -10x = 10 + -5 Combine like terms: 10 + -5 = 5 -10x = 5 Divide each side by '-10'. x = -0.5 Simplifying x = -0.5
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