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Simplifying 3(x + 4) + -5 = 2(x + 3) + -1x + 7 Reorder the terms: 3(4 + x) + -5 = 2(x + 3) + -1x + 7 (4 * 3 + x * 3) + -5 = 2(x + 3) + -1x + 7 (12 + 3x) + -5 = 2(x + 3) + -1x + 7 Reorder the terms: 12 + -5 + 3x = 2(x + 3) + -1x + 7 Combine like terms: 12 + -5 = 7 7 + 3x = 2(x + 3) + -1x + 7 Reorder the terms: 7 + 3x = 2(3 + x) + -1x + 7 7 + 3x = (3 * 2 + x * 2) + -1x + 7 7 + 3x = (6 + 2x) + -1x + 7 Reorder the terms: 7 + 3x = 6 + 7 + 2x + -1x Combine like terms: 6 + 7 = 13 7 + 3x = 13 + 2x + -1x Combine like terms: 2x + -1x = 1x 7 + 3x = 13 + 1x Solving 7 + 3x = 13 + 1x 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 + 3x + -1x = 13 + 1x + -1x Combine like terms: 3x + -1x = 2x 7 + 2x = 13 + 1x + -1x Combine like terms: 1x + -1x = 0 7 + 2x = 13 + 0 7 + 2x = 13 Add '-7' to each side of the equation. 7 + -7 + 2x = 13 + -7 Combine like terms: 7 + -7 = 0 0 + 2x = 13 + -7 2x = 13 + -7 Combine like terms: 13 + -7 = 6 2x = 6 Divide each side by '2'. x = 3 Simplifying x = 3
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