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Simplifying 1(6x + 12) + -3(3x + -36) = 54 Reorder the terms: 1(12 + 6x) + -3(3x + -36) = 54 (12 * 1 + 6x * 1) + -3(3x + -36) = 54 (12 + 6x) + -3(3x + -36) = 54 Reorder the terms: 12 + 6x + -3(-36 + 3x) = 54 12 + 6x + (-36 * -3 + 3x * -3) = 54 12 + 6x + (108 + -9x) = 54 Reorder the terms: 12 + 108 + 6x + -9x = 54 Combine like terms: 12 + 108 = 120 120 + 6x + -9x = 54 Combine like terms: 6x + -9x = -3x 120 + -3x = 54 Solving 120 + -3x = 54 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-120' to each side of the equation. 120 + -120 + -3x = 54 + -120 Combine like terms: 120 + -120 = 0 0 + -3x = 54 + -120 -3x = 54 + -120 Combine like terms: 54 + -120 = -66 -3x = -66 Divide each side by '-3'. x = 22 Simplifying x = 22
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