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Simplifying -8(x + 12) = -18(x + -6) + -4 Reorder the terms: -8(12 + x) = -18(x + -6) + -4 (12 * -8 + x * -8) = -18(x + -6) + -4 (-96 + -8x) = -18(x + -6) + -4 Reorder the terms: -96 + -8x = -18(-6 + x) + -4 -96 + -8x = (-6 * -18 + x * -18) + -4 -96 + -8x = (108 + -18x) + -4 Reorder the terms: -96 + -8x = 108 + -4 + -18x Combine like terms: 108 + -4 = 104 -96 + -8x = 104 + -18x Solving -96 + -8x = 104 + -18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '18x' to each side of the equation. -96 + -8x + 18x = 104 + -18x + 18x Combine like terms: -8x + 18x = 10x -96 + 10x = 104 + -18x + 18x Combine like terms: -18x + 18x = 0 -96 + 10x = 104 + 0 -96 + 10x = 104 Add '96' to each side of the equation. -96 + 96 + 10x = 104 + 96 Combine like terms: -96 + 96 = 0 0 + 10x = 104 + 96 10x = 104 + 96 Combine like terms: 104 + 96 = 200 10x = 200 Divide each side by '10'. x = 20 Simplifying x = 20
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