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Simplifying 2(3x + -6) = 3(5x + 2) Reorder the terms: 2(-6 + 3x) = 3(5x + 2) (-6 * 2 + 3x * 2) = 3(5x + 2) (-12 + 6x) = 3(5x + 2) Reorder the terms: -12 + 6x = 3(2 + 5x) -12 + 6x = (2 * 3 + 5x * 3) -12 + 6x = (6 + 15x) Solving -12 + 6x = 6 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. -12 + 6x + -15x = 6 + 15x + -15x Combine like terms: 6x + -15x = -9x -12 + -9x = 6 + 15x + -15x Combine like terms: 15x + -15x = 0 -12 + -9x = 6 + 0 -12 + -9x = 6 Add '12' to each side of the equation. -12 + 12 + -9x = 6 + 12 Combine like terms: -12 + 12 = 0 0 + -9x = 6 + 12 -9x = 6 + 12 Combine like terms: 6 + 12 = 18 -9x = 18 Divide each side by '-9'. x = -2 Simplifying x = -2
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