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Simplifying 2x + -4(3x + 6) = -6(2x + 1) + -4 Reorder the terms: 2x + -4(6 + 3x) = -6(2x + 1) + -4 2x + (6 * -4 + 3x * -4) = -6(2x + 1) + -4 2x + (-24 + -12x) = -6(2x + 1) + -4 Reorder the terms: -24 + 2x + -12x = -6(2x + 1) + -4 Combine like terms: 2x + -12x = -10x -24 + -10x = -6(2x + 1) + -4 Reorder the terms: -24 + -10x = -6(1 + 2x) + -4 -24 + -10x = (1 * -6 + 2x * -6) + -4 -24 + -10x = (-6 + -12x) + -4 Reorder the terms: -24 + -10x = -6 + -4 + -12x Combine like terms: -6 + -4 = -10 -24 + -10x = -10 + -12x Solving -24 + -10x = -10 + -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. -24 + -10x + 12x = -10 + -12x + 12x Combine like terms: -10x + 12x = 2x -24 + 2x = -10 + -12x + 12x Combine like terms: -12x + 12x = 0 -24 + 2x = -10 + 0 -24 + 2x = -10 Add '24' to each side of the equation. -24 + 24 + 2x = -10 + 24 Combine like terms: -24 + 24 = 0 0 + 2x = -10 + 24 2x = -10 + 24 Combine like terms: -10 + 24 = 14 2x = 14 Divide each side by '2'. x = 7 Simplifying x = 7
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