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Simplifying 54 + -1(3x + 6) = (6x + 12) Reorder the terms: 54 + -1(6 + 3x) = (6x + 12) 54 + (6 * -1 + 3x * -1) = (6x + 12) 54 + (-6 + -3x) = (6x + 12) Combine like terms: 54 + -6 = 48 48 + -3x = (6x + 12) Reorder the terms: 48 + -3x = (12 + 6x) Remove parenthesis around (12 + 6x) 48 + -3x = 12 + 6x Solving 48 + -3x = 12 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 48 + -3x + -6x = 12 + 6x + -6x Combine like terms: -3x + -6x = -9x 48 + -9x = 12 + 6x + -6x Combine like terms: 6x + -6x = 0 48 + -9x = 12 + 0 48 + -9x = 12 Add '-48' to each side of the equation. 48 + -48 + -9x = 12 + -48 Combine like terms: 48 + -48 = 0 0 + -9x = 12 + -48 -9x = 12 + -48 Combine like terms: 12 + -48 = -36 -9x = -36 Divide each side by '-9'. x = 4 Simplifying x = 4
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