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Simplifying 2(3x + -4) + 6x = 10x + -12 Reorder the terms: 2(-4 + 3x) + 6x = 10x + -12 (-4 * 2 + 3x * 2) + 6x = 10x + -12 (-8 + 6x) + 6x = 10x + -12 Combine like terms: 6x + 6x = 12x -8 + 12x = 10x + -12 Reorder the terms: -8 + 12x = -12 + 10x Solving -8 + 12x = -12 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -8 + 12x + -10x = -12 + 10x + -10x Combine like terms: 12x + -10x = 2x -8 + 2x = -12 + 10x + -10x Combine like terms: 10x + -10x = 0 -8 + 2x = -12 + 0 -8 + 2x = -12 Add '8' to each side of the equation. -8 + 8 + 2x = -12 + 8 Combine like terms: -8 + 8 = 0 0 + 2x = -12 + 8 2x = -12 + 8 Combine like terms: -12 + 8 = -4 2x = -4 Divide each side by '2'. x = -2 Simplifying x = -2
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