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Simplifying 2(2x + 1) + -1(x + 1) = 5x + -16 Reorder the terms: 2(1 + 2x) + -1(x + 1) = 5x + -16 (1 * 2 + 2x * 2) + -1(x + 1) = 5x + -16 (2 + 4x) + -1(x + 1) = 5x + -16 Reorder the terms: 2 + 4x + -1(1 + x) = 5x + -16 2 + 4x + (1 * -1 + x * -1) = 5x + -16 2 + 4x + (-1 + -1x) = 5x + -16 Reorder the terms: 2 + -1 + 4x + -1x = 5x + -16 Combine like terms: 2 + -1 = 1 1 + 4x + -1x = 5x + -16 Combine like terms: 4x + -1x = 3x 1 + 3x = 5x + -16 Reorder the terms: 1 + 3x = -16 + 5x Solving 1 + 3x = -16 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 1 + 3x + -5x = -16 + 5x + -5x Combine like terms: 3x + -5x = -2x 1 + -2x = -16 + 5x + -5x Combine like terms: 5x + -5x = 0 1 + -2x = -16 + 0 1 + -2x = -16 Add '-1' to each side of the equation. 1 + -1 + -2x = -16 + -1 Combine like terms: 1 + -1 = 0 0 + -2x = -16 + -1 -2x = -16 + -1 Combine like terms: -16 + -1 = -17 -2x = -17 Divide each side by '-2'. x = 8.5 Simplifying x = 8.5
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