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Simplifying 12 + 2(2x + -1) = 16 + -1(-2x + -6) Reorder the terms: 12 + 2(-1 + 2x) = 16 + -1(-2x + -6) 12 + (-1 * 2 + 2x * 2) = 16 + -1(-2x + -6) 12 + (-2 + 4x) = 16 + -1(-2x + -6) Combine like terms: 12 + -2 = 10 10 + 4x = 16 + -1(-2x + -6) Reorder the terms: 10 + 4x = 16 + -1(-6 + -2x) 10 + 4x = 16 + (-6 * -1 + -2x * -1) 10 + 4x = 16 + (6 + 2x) Combine like terms: 16 + 6 = 22 10 + 4x = 22 + 2x Solving 10 + 4x = 22 + 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 = 22 + 2x + -2x Combine like terms: 4x + -2x = 2x 10 + 2x = 22 + 2x + -2x Combine like terms: 2x + -2x = 0 10 + 2x = 22 + 0 10 + 2x = 22 Add '-10' to each side of the equation. 10 + -10 + 2x = 22 + -10 Combine like terms: 10 + -10 = 0 0 + 2x = 22 + -10 2x = 22 + -10 Combine like terms: 22 + -10 = 12 2x = 12 Divide each side by '2'. x = 6 Simplifying x = 6
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