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Simplifying 3(x + 1) + 2(x + 2) = x + 12 Reorder the terms: 3(1 + x) + 2(x + 2) = x + 12 (1 * 3 + x * 3) + 2(x + 2) = x + 12 (3 + 3x) + 2(x + 2) = x + 12 Reorder the terms: 3 + 3x + 2(2 + x) = x + 12 3 + 3x + (2 * 2 + x * 2) = x + 12 3 + 3x + (4 + 2x) = x + 12 Reorder the terms: 3 + 4 + 3x + 2x = x + 12 Combine like terms: 3 + 4 = 7 7 + 3x + 2x = x + 12 Combine like terms: 3x + 2x = 5x 7 + 5x = x + 12 Reorder the terms: 7 + 5x = 12 + x Solving 7 + 5x = 12 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 7 + 5x + -1x = 12 + x + -1x Combine like terms: 5x + -1x = 4x 7 + 4x = 12 + x + -1x Combine like terms: x + -1x = 0 7 + 4x = 12 + 0 7 + 4x = 12 Add '-7' to each side of the equation. 7 + -7 + 4x = 12 + -7 Combine like terms: 7 + -7 = 0 0 + 4x = 12 + -7 4x = 12 + -7 Combine like terms: 12 + -7 = 5 4x = 5 Divide each side by '4'. x = 1.25 Simplifying x = 1.25
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