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Simplifying 6(2x + 4) = 4(3x + 6) + -10x Reorder the terms: 6(4 + 2x) = 4(3x + 6) + -10x (4 * 6 + 2x * 6) = 4(3x + 6) + -10x (24 + 12x) = 4(3x + 6) + -10x Reorder the terms: 24 + 12x = 4(6 + 3x) + -10x 24 + 12x = (6 * 4 + 3x * 4) + -10x 24 + 12x = (24 + 12x) + -10x Combine like terms: 12x + -10x = 2x 24 + 12x = 24 + 2x Add '-24' to each side of the equation. 24 + -24 + 12x = 24 + -24 + 2x Combine like terms: 24 + -24 = 0 0 + 12x = 24 + -24 + 2x 12x = 24 + -24 + 2x Combine like terms: 24 + -24 = 0 12x = 0 + 2x 12x = 2x Solving 12x = 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 12x + -2x = 2x + -2x Combine like terms: 12x + -2x = 10x 10x = 2x + -2x Combine like terms: 2x + -2x = 0 10x = 0 Divide each side by '10'. x = 0.0 Simplifying x = 0.0
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