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Simplifying 54 + -1(2x + 12) = 2(x + 6) + x Reorder the terms: 54 + -1(12 + 2x) = 2(x + 6) + x 54 + (12 * -1 + 2x * -1) = 2(x + 6) + x 54 + (-12 + -2x) = 2(x + 6) + x Combine like terms: 54 + -12 = 42 42 + -2x = 2(x + 6) + x Reorder the terms: 42 + -2x = 2(6 + x) + x 42 + -2x = (6 * 2 + x * 2) + x 42 + -2x = (12 + 2x) + x Combine like terms: 2x + x = 3x 42 + -2x = 12 + 3x Solving 42 + -2x = 12 + 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. 42 + -2x + -3x = 12 + 3x + -3x Combine like terms: -2x + -3x = -5x 42 + -5x = 12 + 3x + -3x Combine like terms: 3x + -3x = 0 42 + -5x = 12 + 0 42 + -5x = 12 Add '-42' to each side of the equation. 42 + -42 + -5x = 12 + -42 Combine like terms: 42 + -42 = 0 0 + -5x = 12 + -42 -5x = 12 + -42 Combine like terms: 12 + -42 = -30 -5x = -30 Divide each side by '-5'. x = 6 Simplifying x = 6
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