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Simplifying 5(x + 6) + 2(-1x + 12) = 6 Reorder the terms: 5(6 + x) + 2(-1x + 12) = 6 (6 * 5 + x * 5) + 2(-1x + 12) = 6 (30 + 5x) + 2(-1x + 12) = 6 Reorder the terms: 30 + 5x + 2(12 + -1x) = 6 30 + 5x + (12 * 2 + -1x * 2) = 6 30 + 5x + (24 + -2x) = 6 Reorder the terms: 30 + 24 + 5x + -2x = 6 Combine like terms: 30 + 24 = 54 54 + 5x + -2x = 6 Combine like terms: 5x + -2x = 3x 54 + 3x = 6 Solving 54 + 3x = 6 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-54' to each side of the equation. 54 + -54 + 3x = 6 + -54 Combine like terms: 54 + -54 = 0 0 + 3x = 6 + -54 3x = 6 + -54 Combine like terms: 6 + -54 = -48 3x = -48 Divide each side by '3'. x = -16 Simplifying x = -16
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