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Simplifying 3(2 + -5x) = -6(2x + 3) (2 * 3 + -5x * 3) = -6(2x + 3) (6 + -15x) = -6(2x + 3) Reorder the terms: 6 + -15x = -6(3 + 2x) 6 + -15x = (3 * -6 + 2x * -6) 6 + -15x = (-18 + -12x) Solving 6 + -15x = -18 + -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 + -15x + 12x = -18 + -12x + 12x Combine like terms: -15x + 12x = -3x 6 + -3x = -18 + -12x + 12x Combine like terms: -12x + 12x = 0 6 + -3x = -18 + 0 6 + -3x = -18 Add '-6' to each side of the equation. 6 + -6 + -3x = -18 + -6 Combine like terms: 6 + -6 = 0 0 + -3x = -18 + -6 -3x = -18 + -6 Combine like terms: -18 + -6 = -24 -3x = -24 Divide each side by '-3'. x = 8 Simplifying x = 8
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