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Simplifying -6(3x + -4) = 15x + 120 Reorder the terms: -6(-4 + 3x) = 15x + 120 (-4 * -6 + 3x * -6) = 15x + 120 (24 + -18x) = 15x + 120 Reorder the terms: 24 + -18x = 120 + 15x Solving 24 + -18x = 120 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 24 + -18x + -15x = 120 + 15x + -15x Combine like terms: -18x + -15x = -33x 24 + -33x = 120 + 15x + -15x Combine like terms: 15x + -15x = 0 24 + -33x = 120 + 0 24 + -33x = 120 Add '-24' to each side of the equation. 24 + -24 + -33x = 120 + -24 Combine like terms: 24 + -24 = 0 0 + -33x = 120 + -24 -33x = 120 + -24 Combine like terms: 120 + -24 = 96 -33x = 96 Divide each side by '-33'. x = -2.909090909 Simplifying x = -2.909090909
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