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Simplifying -6 + -3(6x + -4) = 6(1 + -2x) + -6 Reorder the terms: -6 + -3(-4 + 6x) = 6(1 + -2x) + -6 -6 + (-4 * -3 + 6x * -3) = 6(1 + -2x) + -6 -6 + (12 + -18x) = 6(1 + -2x) + -6 Combine like terms: -6 + 12 = 6 6 + -18x = 6(1 + -2x) + -6 6 + -18x = (1 * 6 + -2x * 6) + -6 6 + -18x = (6 + -12x) + -6 Reorder the terms: 6 + -18x = 6 + -6 + -12x Combine like terms: 6 + -6 = 0 6 + -18x = 0 + -12x 6 + -18x = -12x Solving 6 + -18x = -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. 6 + -18x + 12x = -12x + 12x Combine like terms: -18x + 12x = -6x 6 + -6x = -12x + 12x Combine like terms: -12x + 12x = 0 6 + -6x = 0 Add '-6' to each side of the equation. 6 + -6 + -6x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -6x = 0 + -6 -6x = 0 + -6 Combine like terms: 0 + -6 = -6 -6x = -6 Divide each side by '-6'. x = 1 Simplifying x = 1
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