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Simplifying 4x + 2(3x + -6) = 12x + -8 Reorder the terms: 4x + 2(-6 + 3x) = 12x + -8 4x + (-6 * 2 + 3x * 2) = 12x + -8 4x + (-12 + 6x) = 12x + -8 Reorder the terms: -12 + 4x + 6x = 12x + -8 Combine like terms: 4x + 6x = 10x -12 + 10x = 12x + -8 Reorder the terms: -12 + 10x = -8 + 12x Solving -12 + 10x = -8 + 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 + 10x + -12x = -8 + 12x + -12x Combine like terms: 10x + -12x = -2x -12 + -2x = -8 + 12x + -12x Combine like terms: 12x + -12x = 0 -12 + -2x = -8 + 0 -12 + -2x = -8 Add '12' to each side of the equation. -12 + 12 + -2x = -8 + 12 Combine like terms: -12 + 12 = 0 0 + -2x = -8 + 12 -2x = -8 + 12 Combine like terms: -8 + 12 = 4 -2x = 4 Divide each side by '-2'. x = -2 Simplifying x = -2
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