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Simplifying 12 + 4x + -2 = 3(x + 6) + -1x Reorder the terms: 12 + -2 + 4x = 3(x + 6) + -1x Combine like terms: 12 + -2 = 10 10 + 4x = 3(x + 6) + -1x Reorder the terms: 10 + 4x = 3(6 + x) + -1x 10 + 4x = (6 * 3 + x * 3) + -1x 10 + 4x = (18 + 3x) + -1x Combine like terms: 3x + -1x = 2x 10 + 4x = 18 + 2x Solving 10 + 4x = 18 + 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. 10 + 4x + -2x = 18 + 2x + -2x Combine like terms: 4x + -2x = 2x 10 + 2x = 18 + 2x + -2x Combine like terms: 2x + -2x = 0 10 + 2x = 18 + 0 10 + 2x = 18 Add '-10' to each side of the equation. 10 + -10 + 2x = 18 + -10 Combine like terms: 10 + -10 = 0 0 + 2x = 18 + -10 2x = 18 + -10 Combine like terms: 18 + -10 = 8 2x = 8 Divide each side by '2'. x = 4 Simplifying x = 4
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