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Simplifying -6(3x + -8) + 6(x + 4) = -12x + -6x Reorder the terms: -6(-8 + 3x) + 6(x + 4) = -12x + -6x (-8 * -6 + 3x * -6) + 6(x + 4) = -12x + -6x (48 + -18x) + 6(x + 4) = -12x + -6x Reorder the terms: 48 + -18x + 6(4 + x) = -12x + -6x 48 + -18x + (4 * 6 + x * 6) = -12x + -6x 48 + -18x + (24 + 6x) = -12x + -6x Reorder the terms: 48 + 24 + -18x + 6x = -12x + -6x Combine like terms: 48 + 24 = 72 72 + -18x + 6x = -12x + -6x Combine like terms: -18x + 6x = -12x 72 + -12x = -12x + -6x Combine like terms: -12x + -6x = -18x 72 + -12x = -18x Solving 72 + -12x = -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. 72 + -12x + 18x = -18x + 18x Combine like terms: -12x + 18x = 6x 72 + 6x = -18x + 18x Combine like terms: -18x + 18x = 0 72 + 6x = 0 Add '-72' to each side of the equation. 72 + -72 + 6x = 0 + -72 Combine like terms: 72 + -72 = 0 0 + 6x = 0 + -72 6x = 0 + -72 Combine like terms: 0 + -72 = -72 6x = -72 Divide each side by '6'. x = -12 Simplifying x = -12
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