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Simplifying 2(5x + 3) = 3(4x + -6) Reorder the terms: 2(3 + 5x) = 3(4x + -6) (3 * 2 + 5x * 2) = 3(4x + -6) (6 + 10x) = 3(4x + -6) Reorder the terms: 6 + 10x = 3(-6 + 4x) 6 + 10x = (-6 * 3 + 4x * 3) 6 + 10x = (-18 + 12x) Solving 6 + 10x = -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 + 10x + -12x = -18 + 12x + -12x Combine like terms: 10x + -12x = -2x 6 + -2x = -18 + 12x + -12x Combine like terms: 12x + -12x = 0 6 + -2x = -18 + 0 6 + -2x = -18 Add '-6' to each side of the equation. 6 + -6 + -2x = -18 + -6 Combine like terms: 6 + -6 = 0 0 + -2x = -18 + -6 -2x = -18 + -6 Combine like terms: -18 + -6 = -24 -2x = -24 Divide each side by '-2'. x = 12 Simplifying x = 12
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