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Simplifying 3(5x + 2) = 6(2x + -3) Reorder the terms: 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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