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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 = 16 16 + 4x = 16 + -1(2x + -8) Reorder the terms: 16 + 4x = 16 + -1(-8 + 2x) 16 + 4x = 16 + (-8 * -1 + 2x * -1) 16 + 4x = 16 + (8 + -2x) Combine like terms: 16 + 8 = 24 16 + 4x = 24 + -2x Solving 16 + 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. 16 + 4x + 2x = 24 + -2x + 2x Combine like terms: 4x + 2x = 6x 16 + 6x = 24 + -2x + 2x Combine like terms: -2x + 2x = 0 16 + 6x = 24 + 0 16 + 6x = 24 Add '-16' to each side of the equation. 16 + -16 + 6x = 24 + -16 Combine like terms: 16 + -16 = 0 0 + 6x = 24 + -16 6x = 24 + -16 Combine like terms: 24 + -16 = 8 6x = 8 Divide each side by '6'. x = 1.333333333 Simplifying x = 1.333333333
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