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Simplifying 2(x + 1) + -1(x + 1) = 5x + -16 Reorder the terms: 2(1 + x) + -1(x + 1) = 5x + -16 (1 * 2 + x * 2) + -1(x + 1) = 5x + -16 (2 + 2x) + -1(x + 1) = 5x + -16 Reorder the terms: 2 + 2x + -1(1 + x) = 5x + -16 2 + 2x + (1 * -1 + x * -1) = 5x + -16 2 + 2x + (-1 + -1x) = 5x + -16 Reorder the terms: 2 + -1 + 2x + -1x = 5x + -16 Combine like terms: 2 + -1 = 1 1 + 2x + -1x = 5x + -16 Combine like terms: 2x + -1x = 1x 1 + 1x = 5x + -16 Reorder the terms: 1 + 1x = -16 + 5x Solving 1 + 1x = -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 + 1x + -5x = -16 + 5x + -5x Combine like terms: 1x + -5x = -4x 1 + -4x = -16 + 5x + -5x Combine like terms: 5x + -5x = 0 1 + -4x = -16 + 0 1 + -4x = -16 Add '-1' to each side of the equation. 1 + -1 + -4x = -16 + -1 Combine like terms: 1 + -1 = 0 0 + -4x = -16 + -1 -4x = -16 + -1 Combine like terms: -16 + -1 = -17 -4x = -17 Divide each side by '-4'. x = 4.25 Simplifying x = 4.25
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