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Simplifying -3(-1 + -5x) = 6(x + -4) + 12x (-1 * -3 + -5x * -3) = 6(x + -4) + 12x (3 + 15x) = 6(x + -4) + 12x Reorder the terms: 3 + 15x = 6(-4 + x) + 12x 3 + 15x = (-4 * 6 + x * 6) + 12x 3 + 15x = (-24 + 6x) + 12x Combine like terms: 6x + 12x = 18x 3 + 15x = -24 + 18x Solving 3 + 15x = -24 + 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. 3 + 15x + -18x = -24 + 18x + -18x Combine like terms: 15x + -18x = -3x 3 + -3x = -24 + 18x + -18x Combine like terms: 18x + -18x = 0 3 + -3x = -24 + 0 3 + -3x = -24 Add '-3' to each side of the equation. 3 + -3 + -3x = -24 + -3 Combine like terms: 3 + -3 = 0 0 + -3x = -24 + -3 -3x = -24 + -3 Combine like terms: -24 + -3 = -27 -3x = -27 Divide each side by '-3'. x = 9 Simplifying x = 9
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