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Simplifying 2(x + 13) + 36 = 3(x + 5) Reorder the terms: 2(13 + x) + 36 = 3(x + 5) (13 * 2 + x * 2) + 36 = 3(x + 5) (26 + 2x) + 36 = 3(x + 5) Reorder the terms: 26 + 36 + 2x = 3(x + 5) Combine like terms: 26 + 36 = 62 62 + 2x = 3(x + 5) Reorder the terms: 62 + 2x = 3(5 + x) 62 + 2x = (5 * 3 + x * 3) 62 + 2x = (15 + 3x) Solving 62 + 2x = 15 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 62 + 2x + -3x = 15 + 3x + -3x Combine like terms: 2x + -3x = -1x 62 + -1x = 15 + 3x + -3x Combine like terms: 3x + -3x = 0 62 + -1x = 15 + 0 62 + -1x = 15 Add '-62' to each side of the equation. 62 + -62 + -1x = 15 + -62 Combine like terms: 62 + -62 = 0 0 + -1x = 15 + -62 -1x = 15 + -62 Combine like terms: 15 + -62 = -47 -1x = -47 Divide each side by '-1'. x = 47 Simplifying x = 47
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