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Simplifying 2(2x + 1) = 16 + 3(2x + -5) Reorder the terms: 2(1 + 2x) = 16 + 3(2x + -5) (1 * 2 + 2x * 2) = 16 + 3(2x + -5) (2 + 4x) = 16 + 3(2x + -5) Reorder the terms: 2 + 4x = 16 + 3(-5 + 2x) 2 + 4x = 16 + (-5 * 3 + 2x * 3) 2 + 4x = 16 + (-15 + 6x) Combine like terms: 16 + -15 = 1 2 + 4x = 1 + 6x Solving 2 + 4x = 1 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 2 + 4x + -6x = 1 + 6x + -6x Combine like terms: 4x + -6x = -2x 2 + -2x = 1 + 6x + -6x Combine like terms: 6x + -6x = 0 2 + -2x = 1 + 0 2 + -2x = 1 Add '-2' to each side of the equation. 2 + -2 + -2x = 1 + -2 Combine like terms: 2 + -2 = 0 0 + -2x = 1 + -2 -2x = 1 + -2 Combine like terms: 1 + -2 = -1 -2x = -1 Divide each side by '-2'. x = 0.5 Simplifying x = 0.5
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