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Simplifying 5(x + 3) + -10 = 2(x + 31) Reorder the terms: 5(3 + x) + -10 = 2(x + 31) (3 * 5 + x * 5) + -10 = 2(x + 31) (15 + 5x) + -10 = 2(x + 31) Reorder the terms: 15 + -10 + 5x = 2(x + 31) Combine like terms: 15 + -10 = 5 5 + 5x = 2(x + 31) Reorder the terms: 5 + 5x = 2(31 + x) 5 + 5x = (31 * 2 + x * 2) 5 + 5x = (62 + 2x) Solving 5 + 5x = 62 + 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. 5 + 5x + -2x = 62 + 2x + -2x Combine like terms: 5x + -2x = 3x 5 + 3x = 62 + 2x + -2x Combine like terms: 2x + -2x = 0 5 + 3x = 62 + 0 5 + 3x = 62 Add '-5' to each side of the equation. 5 + -5 + 3x = 62 + -5 Combine like terms: 5 + -5 = 0 0 + 3x = 62 + -5 3x = 62 + -5 Combine like terms: 62 + -5 = 57 3x = 57 Divide each side by '3'. x = 19 Simplifying x = 19
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