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Simplifying (4x + 2) + -1(12x + -8) + 2(5x + -3) = 6 + 12 Reorder the terms: (2 + 4x) + -1(12x + -8) + 2(5x + -3) = 6 + 12 Remove parenthesis around (2 + 4x) 2 + 4x + -1(12x + -8) + 2(5x + -3) = 6 + 12 Reorder the terms: 2 + 4x + -1(-8 + 12x) + 2(5x + -3) = 6 + 12 2 + 4x + (-8 * -1 + 12x * -1) + 2(5x + -3) = 6 + 12 2 + 4x + (8 + -12x) + 2(5x + -3) = 6 + 12 Reorder the terms: 2 + 4x + 8 + -12x + 2(-3 + 5x) = 6 + 12 2 + 4x + 8 + -12x + (-3 * 2 + 5x * 2) = 6 + 12 2 + 4x + 8 + -12x + (-6 + 10x) = 6 + 12 Reorder the terms: 2 + 8 + -6 + 4x + -12x + 10x = 6 + 12 Combine like terms: 2 + 8 = 10 10 + -6 + 4x + -12x + 10x = 6 + 12 Combine like terms: 10 + -6 = 4 4 + 4x + -12x + 10x = 6 + 12 Combine like terms: 4x + -12x = -8x 4 + -8x + 10x = 6 + 12 Combine like terms: -8x + 10x = 2x 4 + 2x = 6 + 12 Combine like terms: 6 + 12 = 18 4 + 2x = 18 Solving 4 + 2x = 18 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 2x = 18 + -4 Combine like terms: 4 + -4 = 0 0 + 2x = 18 + -4 2x = 18 + -4 Combine like terms: 18 + -4 = 14 2x = 14 Divide each side by '2'. x = 7 Simplifying x = 7
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