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Simplifying -3(6x + -5) = 4 + -12x + 14 Reorder the terms: -3(-5 + 6x) = 4 + -12x + 14 (-5 * -3 + 6x * -3) = 4 + -12x + 14 (15 + -18x) = 4 + -12x + 14 Reorder the terms: 15 + -18x = 4 + 14 + -12x Combine like terms: 4 + 14 = 18 15 + -18x = 18 + -12x Solving 15 + -18x = 18 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. 15 + -18x + 12x = 18 + -12x + 12x Combine like terms: -18x + 12x = -6x 15 + -6x = 18 + -12x + 12x Combine like terms: -12x + 12x = 0 15 + -6x = 18 + 0 15 + -6x = 18 Add '-15' to each side of the equation. 15 + -15 + -6x = 18 + -15 Combine like terms: 15 + -15 = 0 0 + -6x = 18 + -15 -6x = 18 + -15 Combine like terms: 18 + -15 = 3 -6x = 3 Divide each side by '-6'. x = -0.5 Simplifying x = -0.5
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