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Simplifying 3(2x + -4) = 6(2x + 10) Reorder the terms: 3(-4 + 2x) = 6(2x + 10) (-4 * 3 + 2x * 3) = 6(2x + 10) (-12 + 6x) = 6(2x + 10) Reorder the terms: -12 + 6x = 6(10 + 2x) -12 + 6x = (10 * 6 + 2x * 6) -12 + 6x = (60 + 12x) Solving -12 + 6x = 60 + 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. -12 + 6x + -12x = 60 + 12x + -12x Combine like terms: 6x + -12x = -6x -12 + -6x = 60 + 12x + -12x Combine like terms: 12x + -12x = 0 -12 + -6x = 60 + 0 -12 + -6x = 60 Add '12' to each side of the equation. -12 + 12 + -6x = 60 + 12 Combine like terms: -12 + 12 = 0 0 + -6x = 60 + 12 -6x = 60 + 12 Combine like terms: 60 + 12 = 72 -6x = 72 Divide each side by '-6'. x = -12 Simplifying x = -12
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