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Simplifying 3(2x) + 4(18) + -6x = -6(6x + 2) + 12 Remove parenthesis around (2x) 3 * 2x + 4(18) + -6x = -6(6x + 2) + 12 Multiply 3 * 2 6x + 4(18) + -6x = -6(6x + 2) + 12 Multiply 4 * 18 6x + 72 + -6x = -6(6x + 2) + 12 Reorder the terms: 72 + 6x + -6x = -6(6x + 2) + 12 Combine like terms: 6x + -6x = 0 72 + 0 = -6(6x + 2) + 12 72 = -6(6x + 2) + 12 Reorder the terms: 72 = -6(2 + 6x) + 12 72 = (2 * -6 + 6x * -6) + 12 72 = (-12 + -36x) + 12 Reorder the terms: 72 = -12 + 12 + -36x Combine like terms: -12 + 12 = 0 72 = 0 + -36x 72 = -36x Solving 72 = -36x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '36x' to each side of the equation. 72 + 36x = -36x + 36x Combine like terms: -36x + 36x = 0 72 + 36x = 0 Add '-72' to each side of the equation. 72 + -72 + 36x = 0 + -72 Combine like terms: 72 + -72 = 0 0 + 36x = 0 + -72 36x = 0 + -72 Combine like terms: 0 + -72 = -72 36x = -72 Divide each side by '36'. x = -2 Simplifying x = -2
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