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Simplifying 6(x + 1) + 4(x + 2) = 3(5 + -1x) + 12 Reorder the terms: 6(1 + x) + 4(x + 2) = 3(5 + -1x) + 12 (1 * 6 + x * 6) + 4(x + 2) = 3(5 + -1x) + 12 (6 + 6x) + 4(x + 2) = 3(5 + -1x) + 12 Reorder the terms: 6 + 6x + 4(2 + x) = 3(5 + -1x) + 12 6 + 6x + (2 * 4 + x * 4) = 3(5 + -1x) + 12 6 + 6x + (8 + 4x) = 3(5 + -1x) + 12 Reorder the terms: 6 + 8 + 6x + 4x = 3(5 + -1x) + 12 Combine like terms: 6 + 8 = 14 14 + 6x + 4x = 3(5 + -1x) + 12 Combine like terms: 6x + 4x = 10x 14 + 10x = 3(5 + -1x) + 12 14 + 10x = (5 * 3 + -1x * 3) + 12 14 + 10x = (15 + -3x) + 12 Reorder the terms: 14 + 10x = 15 + 12 + -3x Combine like terms: 15 + 12 = 27 14 + 10x = 27 + -3x Solving 14 + 10x = 27 + -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. 14 + 10x + 3x = 27 + -3x + 3x Combine like terms: 10x + 3x = 13x 14 + 13x = 27 + -3x + 3x Combine like terms: -3x + 3x = 0 14 + 13x = 27 + 0 14 + 13x = 27 Add '-14' to each side of the equation. 14 + -14 + 13x = 27 + -14 Combine like terms: 14 + -14 = 0 0 + 13x = 27 + -14 13x = 27 + -14 Combine like terms: 27 + -14 = 13 13x = 13 Divide each side by '13'. x = 1 Simplifying x = 1
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