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Simplifying 6(x + 1) + 15 = 3(x + 4) + 12 Reorder the terms: 6(1 + x) + 15 = 3(x + 4) + 12 (1 * 6 + x * 6) + 15 = 3(x + 4) + 12 (6 + 6x) + 15 = 3(x + 4) + 12 Reorder the terms: 6 + 15 + 6x = 3(x + 4) + 12 Combine like terms: 6 + 15 = 21 21 + 6x = 3(x + 4) + 12 Reorder the terms: 21 + 6x = 3(4 + x) + 12 21 + 6x = (4 * 3 + x * 3) + 12 21 + 6x = (12 + 3x) + 12 Reorder the terms: 21 + 6x = 12 + 12 + 3x Combine like terms: 12 + 12 = 24 21 + 6x = 24 + 3x Solving 21 + 6x = 24 + 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. 21 + 6x + -3x = 24 + 3x + -3x Combine like terms: 6x + -3x = 3x 21 + 3x = 24 + 3x + -3x Combine like terms: 3x + -3x = 0 21 + 3x = 24 + 0 21 + 3x = 24 Add '-21' to each side of the equation. 21 + -21 + 3x = 24 + -21 Combine like terms: 21 + -21 = 0 0 + 3x = 24 + -21 3x = 24 + -21 Combine like terms: 24 + -21 = 3 3x = 3 Divide each side by '3'. x = 1 Simplifying x = 1
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