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Simplifying 17 + -1(x + 1) = 5x + -1(x + 4) Reorder the terms: 17 + -1(1 + x) = 5x + -1(x + 4) 17 + (1 * -1 + x * -1) = 5x + -1(x + 4) 17 + (-1 + -1x) = 5x + -1(x + 4) Combine like terms: 17 + -1 = 16 16 + -1x = 5x + -1(x + 4) Reorder the terms: 16 + -1x = 5x + -1(4 + x) 16 + -1x = 5x + (4 * -1 + x * -1) 16 + -1x = 5x + (-4 + -1x) Reorder the terms: 16 + -1x = -4 + 5x + -1x Combine like terms: 5x + -1x = 4x 16 + -1x = -4 + 4x Solving 16 + -1x = -4 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 16 + -1x + -4x = -4 + 4x + -4x Combine like terms: -1x + -4x = -5x 16 + -5x = -4 + 4x + -4x Combine like terms: 4x + -4x = 0 16 + -5x = -4 + 0 16 + -5x = -4 Add '-16' to each side of the equation. 16 + -16 + -5x = -4 + -16 Combine like terms: 16 + -16 = 0 0 + -5x = -4 + -16 -5x = -4 + -16 Combine like terms: -4 + -16 = -20 -5x = -20 Divide each side by '-5'. x = 4 Simplifying x = 4
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