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Simplifying (3 + x) + -1 = (17 + -4x) + -1(3 + x) Remove parenthesis around (3 + x) 3 + x + -1 = (17 + -4x) + -1(3 + x) Reorder the terms: 3 + -1 + x = (17 + -4x) + -1(3 + x) Combine like terms: 3 + -1 = 2 2 + x = (17 + -4x) + -1(3 + x) Remove parenthesis around (17 + -4x) 2 + x = 17 + -4x + -1(3 + x) 2 + x = 17 + -4x + (3 * -1 + x * -1) 2 + x = 17 + -4x + (-3 + -1x) Reorder the terms: 2 + x = 17 + -3 + -4x + -1x Combine like terms: 17 + -3 = 14 2 + x = 14 + -4x + -1x Combine like terms: -4x + -1x = -5x 2 + x = 14 + -5x Solving 2 + x = 14 + -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. 2 + x + 5x = 14 + -5x + 5x Combine like terms: x + 5x = 6x 2 + 6x = 14 + -5x + 5x Combine like terms: -5x + 5x = 0 2 + 6x = 14 + 0 2 + 6x = 14 Add '-2' to each side of the equation. 2 + -2 + 6x = 14 + -2 Combine like terms: 2 + -2 = 0 0 + 6x = 14 + -2 6x = 14 + -2 Combine like terms: 14 + -2 = 12 6x = 12 Divide each side by '6'. x = 2 Simplifying x = 2
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