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Simplifying 3(2x + -4) = 6(5x + 2) Reorder the terms: 3(-4 + 2x) = 6(5x + 2) (-4 * 3 + 2x * 3) = 6(5x + 2) (-12 + 6x) = 6(5x + 2) Reorder the terms: -12 + 6x = 6(2 + 5x) -12 + 6x = (2 * 6 + 5x * 6) -12 + 6x = (12 + 30x) Solving -12 + 6x = 12 + 30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30x' to each side of the equation. -12 + 6x + -30x = 12 + 30x + -30x Combine like terms: 6x + -30x = -24x -12 + -24x = 12 + 30x + -30x Combine like terms: 30x + -30x = 0 -12 + -24x = 12 + 0 -12 + -24x = 12 Add '12' to each side of the equation. -12 + 12 + -24x = 12 + 12 Combine like terms: -12 + 12 = 0 0 + -24x = 12 + 12 -24x = 12 + 12 Combine like terms: 12 + 12 = 24 -24x = 24 Divide each side by '-24'. x = -1 Simplifying x = -1
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