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Simplifying 6(x + 4) + 12 = 5(x + 3) + 7 Reorder the terms: 6(4 + x) + 12 = 5(x + 3) + 7 (4 * 6 + x * 6) + 12 = 5(x + 3) + 7 (24 + 6x) + 12 = 5(x + 3) + 7 Reorder the terms: 24 + 12 + 6x = 5(x + 3) + 7 Combine like terms: 24 + 12 = 36 36 + 6x = 5(x + 3) + 7 Reorder the terms: 36 + 6x = 5(3 + x) + 7 36 + 6x = (3 * 5 + x * 5) + 7 36 + 6x = (15 + 5x) + 7 Reorder the terms: 36 + 6x = 15 + 7 + 5x Combine like terms: 15 + 7 = 22 36 + 6x = 22 + 5x Solving 36 + 6x = 22 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 36 + 6x + -5x = 22 + 5x + -5x Combine like terms: 6x + -5x = 1x 36 + 1x = 22 + 5x + -5x Combine like terms: 5x + -5x = 0 36 + 1x = 22 + 0 36 + 1x = 22 Add '-36' to each side of the equation. 36 + -36 + 1x = 22 + -36 Combine like terms: 36 + -36 = 0 0 + 1x = 22 + -36 1x = 22 + -36 Combine like terms: 22 + -36 = -14 1x = -14 Divide each side by '1'. x = -14 Simplifying x = -14
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