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Simplifying 3(-4x + -6) = -1(2x + -7) + 5 Reorder the terms: 3(-6 + -4x) = -1(2x + -7) + 5 (-6 * 3 + -4x * 3) = -1(2x + -7) + 5 (-18 + -12x) = -1(2x + -7) + 5 Reorder the terms: -18 + -12x = -1(-7 + 2x) + 5 -18 + -12x = (-7 * -1 + 2x * -1) + 5 -18 + -12x = (7 + -2x) + 5 Reorder the terms: -18 + -12x = 7 + 5 + -2x Combine like terms: 7 + 5 = 12 -18 + -12x = 12 + -2x Solving -18 + -12x = 12 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -18 + -12x + 2x = 12 + -2x + 2x Combine like terms: -12x + 2x = -10x -18 + -10x = 12 + -2x + 2x Combine like terms: -2x + 2x = 0 -18 + -10x = 12 + 0 -18 + -10x = 12 Add '18' to each side of the equation. -18 + 18 + -10x = 12 + 18 Combine like terms: -18 + 18 = 0 0 + -10x = 12 + 18 -10x = 12 + 18 Combine like terms: 12 + 18 = 30 -10x = 30 Divide each side by '-10'. x = -3 Simplifying x = -3
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