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Simplifying 3(1 + x) + -6(-4x + -4) = 54 (1 * 3 + x * 3) + -6(-4x + -4) = 54 (3 + 3x) + -6(-4x + -4) = 54 Reorder the terms: 3 + 3x + -6(-4 + -4x) = 54 3 + 3x + (-4 * -6 + -4x * -6) = 54 3 + 3x + (24 + 24x) = 54 Reorder the terms: 3 + 24 + 3x + 24x = 54 Combine like terms: 3 + 24 = 27 27 + 3x + 24x = 54 Combine like terms: 3x + 24x = 27x 27 + 27x = 54 Solving 27 + 27x = 54 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-27' to each side of the equation. 27 + -27 + 27x = 54 + -27 Combine like terms: 27 + -27 = 0 0 + 27x = 54 + -27 27x = 54 + -27 Combine like terms: 54 + -27 = 27 27x = 27 Divide each side by '27'. x = 1 Simplifying x = 1
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