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Simplifying 2(x + -3) = 6(2x + 4) Reorder the terms: 2(-3 + x) = 6(2x + 4) (-3 * 2 + x * 2) = 6(2x + 4) (-6 + 2x) = 6(2x + 4) Reorder the terms: -6 + 2x = 6(4 + 2x) -6 + 2x = (4 * 6 + 2x * 6) -6 + 2x = (24 + 12x) Solving -6 + 2x = 24 + 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. -6 + 2x + -12x = 24 + 12x + -12x Combine like terms: 2x + -12x = -10x -6 + -10x = 24 + 12x + -12x Combine like terms: 12x + -12x = 0 -6 + -10x = 24 + 0 -6 + -10x = 24 Add '6' to each side of the equation. -6 + 6 + -10x = 24 + 6 Combine like terms: -6 + 6 = 0 0 + -10x = 24 + 6 -10x = 24 + 6 Combine like terms: 24 + 6 = 30 -10x = 30 Divide each side by '-10'. x = -3 Simplifying x = -3
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