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Simplifying 3(8x + -6) = 2(6x + 15) Reorder the terms: 3(-6 + 8x) = 2(6x + 15) (-6 * 3 + 8x * 3) = 2(6x + 15) (-18 + 24x) = 2(6x + 15) Reorder the terms: -18 + 24x = 2(15 + 6x) -18 + 24x = (15 * 2 + 6x * 2) -18 + 24x = (30 + 12x) Solving -18 + 24x = 30 + 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. -18 + 24x + -12x = 30 + 12x + -12x Combine like terms: 24x + -12x = 12x -18 + 12x = 30 + 12x + -12x Combine like terms: 12x + -12x = 0 -18 + 12x = 30 + 0 -18 + 12x = 30 Add '18' to each side of the equation. -18 + 18 + 12x = 30 + 18 Combine like terms: -18 + 18 = 0 0 + 12x = 30 + 18 12x = 30 + 18 Combine like terms: 30 + 18 = 48 12x = 48 Divide each side by '12'. x = 4 Simplifying x = 4
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