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Simplifying 6(x + 3) + 14 = 3(x + 6) + 11 Reorder the terms: 6(3 + x) + 14 = 3(x + 6) + 11 (3 * 6 + x * 6) + 14 = 3(x + 6) + 11 (18 + 6x) + 14 = 3(x + 6) + 11 Reorder the terms: 18 + 14 + 6x = 3(x + 6) + 11 Combine like terms: 18 + 14 = 32 32 + 6x = 3(x + 6) + 11 Reorder the terms: 32 + 6x = 3(6 + x) + 11 32 + 6x = (6 * 3 + x * 3) + 11 32 + 6x = (18 + 3x) + 11 Reorder the terms: 32 + 6x = 18 + 11 + 3x Combine like terms: 18 + 11 = 29 32 + 6x = 29 + 3x Solving 32 + 6x = 29 + 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. 32 + 6x + -3x = 29 + 3x + -3x Combine like terms: 6x + -3x = 3x 32 + 3x = 29 + 3x + -3x Combine like terms: 3x + -3x = 0 32 + 3x = 29 + 0 32 + 3x = 29 Add '-32' to each side of the equation. 32 + -32 + 3x = 29 + -32 Combine like terms: 32 + -32 = 0 0 + 3x = 29 + -32 3x = 29 + -32 Combine like terms: 29 + -32 = -3 3x = -3 Divide each side by '3'. x = -1 Simplifying x = -1
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