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Simplifying 2(2x + 3) = 16 + -1(2x + -2) Reorder the terms: 2(3 + 2x) = 16 + -1(2x + -2) (3 * 2 + 2x * 2) = 16 + -1(2x + -2) (6 + 4x) = 16 + -1(2x + -2) Reorder the terms: 6 + 4x = 16 + -1(-2 + 2x) 6 + 4x = 16 + (-2 * -1 + 2x * -1) 6 + 4x = 16 + (2 + -2x) Combine like terms: 16 + 2 = 18 6 + 4x = 18 + -2x Solving 6 + 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. 6 + 4x + 2x = 18 + -2x + 2x Combine like terms: 4x + 2x = 6x 6 + 6x = 18 + -2x + 2x Combine like terms: -2x + 2x = 0 6 + 6x = 18 + 0 6 + 6x = 18 Add '-6' to each side of the equation. 6 + -6 + 6x = 18 + -6 Combine like terms: 6 + -6 = 0 0 + 6x = 18 + -6 6x = 18 + -6 Combine like terms: 18 + -6 = 12 6x = 12 Divide each side by '6'. x = 2 Simplifying x = 2
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