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Simplifying 14 + 2(2x + -1) = 16 + -1(2x + -8) Reorder the terms: 14 + 2(-1 + 2x) = 16 + -1(2x + -8) 14 + (-1 * 2 + 2x * 2) = 16 + -1(2x + -8) 14 + (-2 + 4x) = 16 + -1(2x + -8) Combine like terms: 14 + -2 = 12 12 + 4x = 16 + -1(2x + -8) Reorder the terms: 12 + 4x = 16 + -1(-8 + 2x) 12 + 4x = 16 + (-8 * -1 + 2x * -1) 12 + 4x = 16 + (8 + -2x) Combine like terms: 16 + 8 = 24 12 + 4x = 24 + -2x Solving 12 + 4x = 24 + -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. 12 + 4x + 2x = 24 + -2x + 2x Combine like terms: 4x + 2x = 6x 12 + 6x = 24 + -2x + 2x Combine like terms: -2x + 2x = 0 12 + 6x = 24 + 0 12 + 6x = 24 Add '-12' to each side of the equation. 12 + -12 + 6x = 24 + -12 Combine like terms: 12 + -12 = 0 0 + 6x = 24 + -12 6x = 24 + -12 Combine like terms: 24 + -12 = 12 6x = 12 Divide each side by '6'. x = 2 Simplifying x = 2
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