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Simplifying 3(5 + -1x) = -17 + x (5 * 3 + -1x * 3) = -17 + x (15 + -3x) = -17 + x Solving 15 + -3x = -17 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 15 + -3x + -1x = -17 + x + -1x Combine like terms: -3x + -1x = -4x 15 + -4x = -17 + x + -1x Combine like terms: x + -1x = 0 15 + -4x = -17 + 0 15 + -4x = -17 Add '-15' to each side of the equation. 15 + -15 + -4x = -17 + -15 Combine like terms: 15 + -15 = 0 0 + -4x = -17 + -15 -4x = -17 + -15 Combine like terms: -17 + -15 = -32 -4x = -32 Divide each side by '-4'. x = 8 Simplifying x = 8
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