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Simplifying 4x + -1(5x + -17) = 7 + -1x + (x + 6) Reorder the terms: 4x + -1(-17 + 5x) = 7 + -1x + (x + 6) 4x + (-17 * -1 + 5x * -1) = 7 + -1x + (x + 6) 4x + (17 + -5x) = 7 + -1x + (x + 6) Reorder the terms: 17 + 4x + -5x = 7 + -1x + (x + 6) Combine like terms: 4x + -5x = -1x 17 + -1x = 7 + -1x + (x + 6) Reorder the terms: 17 + -1x = 7 + -1x + (6 + x) Remove parenthesis around (6 + x) 17 + -1x = 7 + -1x + 6 + x Reorder the terms: 17 + -1x = 7 + 6 + -1x + x Combine like terms: 7 + 6 = 13 17 + -1x = 13 + -1x + x Combine like terms: -1x + x = 0 17 + -1x = 13 + 0 17 + -1x = 13 Solving 17 + -1x = 13 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + -1x = 13 + -17 Combine like terms: 17 + -17 = 0 0 + -1x = 13 + -17 -1x = 13 + -17 Combine like terms: 13 + -17 = -4 -1x = -4 Divide each side by '-1'. x = 4 Simplifying x = 4
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