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Simplifying 13 + 2(x + 1) = 4(x + 2) Reorder the terms: 13 + 2(1 + x) = 4(x + 2) 13 + (1 * 2 + x * 2) = 4(x + 2) 13 + (2 + 2x) = 4(x + 2) Combine like terms: 13 + 2 = 15 15 + 2x = 4(x + 2) Reorder the terms: 15 + 2x = 4(2 + x) 15 + 2x = (2 * 4 + x * 4) 15 + 2x = (8 + 4x) Solving 15 + 2x = 8 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 15 + 2x + -4x = 8 + 4x + -4x Combine like terms: 2x + -4x = -2x 15 + -2x = 8 + 4x + -4x Combine like terms: 4x + -4x = 0 15 + -2x = 8 + 0 15 + -2x = 8 Add '-15' to each side of the equation. 15 + -15 + -2x = 8 + -15 Combine like terms: 15 + -15 = 0 0 + -2x = 8 + -15 -2x = 8 + -15 Combine like terms: 8 + -15 = -7 -2x = -7 Divide each side by '-2'. x = 3.5 Simplifying x = 3.5
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