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Simplifying 2(3 + -6x) = 2x + -1(24 + -1x) (3 * 2 + -6x * 2) = 2x + -1(24 + -1x) (6 + -12x) = 2x + -1(24 + -1x) 6 + -12x = 2x + (24 * -1 + -1x * -1) 6 + -12x = 2x + (-24 + 1x) Reorder the terms: 6 + -12x = -24 + 2x + 1x Combine like terms: 2x + 1x = 3x 6 + -12x = -24 + 3x Solving 6 + -12x = -24 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 6 + -12x + -3x = -24 + 3x + -3x Combine like terms: -12x + -3x = -15x 6 + -15x = -24 + 3x + -3x Combine like terms: 3x + -3x = 0 6 + -15x = -24 + 0 6 + -15x = -24 Add '-6' to each side of the equation. 6 + -6 + -15x = -24 + -6 Combine like terms: 6 + -6 = 0 0 + -15x = -24 + -6 -15x = -24 + -6 Combine like terms: -24 + -6 = -30 -15x = -30 Divide each side by '-15'. x = 2 Simplifying x = 2
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