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Simplifying (12 + -6x) = 5(x + 4)(6) Remove parenthesis around (12 + -6x) 12 + -6x = 5(x + 4)(6) Reorder the terms: 12 + -6x = 5(4 + x)(6) Reorder the terms for easier multiplication: 12 + -6x = 5 * 6(4 + x) Multiply 5 * 6 12 + -6x = 30(4 + x) 12 + -6x = (4 * 30 + x * 30) 12 + -6x = (120 + 30x) Solving 12 + -6x = 120 + 30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30x' to each side of the equation. 12 + -6x + -30x = 120 + 30x + -30x Combine like terms: -6x + -30x = -36x 12 + -36x = 120 + 30x + -30x Combine like terms: 30x + -30x = 0 12 + -36x = 120 + 0 12 + -36x = 120 Add '-12' to each side of the equation. 12 + -12 + -36x = 120 + -12 Combine like terms: 12 + -12 = 0 0 + -36x = 120 + -12 -36x = 120 + -12 Combine like terms: 120 + -12 = 108 -36x = 108 Divide each side by '-36'. x = -3 Simplifying x = -3
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