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Simplifying 6(-3x + 5) = -4x + -12 Reorder the terms: 6(5 + -3x) = -4x + -12 (5 * 6 + -3x * 6) = -4x + -12 (30 + -18x) = -4x + -12 Reorder the terms: 30 + -18x = -12 + -4x Solving 30 + -18x = -12 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 30 + -18x + 4x = -12 + -4x + 4x Combine like terms: -18x + 4x = -14x 30 + -14x = -12 + -4x + 4x Combine like terms: -4x + 4x = 0 30 + -14x = -12 + 0 30 + -14x = -12 Add '-30' to each side of the equation. 30 + -30 + -14x = -12 + -30 Combine like terms: 30 + -30 = 0 0 + -14x = -12 + -30 -14x = -12 + -30 Combine like terms: -12 + -30 = -42 -14x = -42 Divide each side by '-14'. x = 3 Simplifying x = 3
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