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Simplifying 2(3x + -6) = 3(5x + -4) Reorder the terms: 2(-6 + 3x) = 3(5x + -4) (-6 * 2 + 3x * 2) = 3(5x + -4) (-12 + 6x) = 3(5x + -4) Reorder the terms: -12 + 6x = 3(-4 + 5x) -12 + 6x = (-4 * 3 + 5x * 3) -12 + 6x = (-12 + 15x) Add '12' to each side of the equation. -12 + 12 + 6x = -12 + 12 + 15x Combine like terms: -12 + 12 = 0 0 + 6x = -12 + 12 + 15x 6x = -12 + 12 + 15x Combine like terms: -12 + 12 = 0 6x = 0 + 15x 6x = 15x Solving 6x = 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. 6x + -15x = 15x + -15x Combine like terms: 6x + -15x = -9x -9x = 15x + -15x Combine like terms: 15x + -15x = 0 -9x = 0 Divide each side by '-9'. x = 0 Simplifying x = 0
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