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Simplifying 4(10 + -1x) = 17(x + -1) (10 * 4 + -1x * 4) = 17(x + -1) (40 + -4x) = 17(x + -1) Reorder the terms: 40 + -4x = 17(-1 + x) 40 + -4x = (-1 * 17 + x * 17) 40 + -4x = (-17 + 17x) Solving 40 + -4x = -17 + 17x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-17x' to each side of the equation. 40 + -4x + -17x = -17 + 17x + -17x Combine like terms: -4x + -17x = -21x 40 + -21x = -17 + 17x + -17x Combine like terms: 17x + -17x = 0 40 + -21x = -17 + 0 40 + -21x = -17 Add '-40' to each side of the equation. 40 + -40 + -21x = -17 + -40 Combine like terms: 40 + -40 = 0 0 + -21x = -17 + -40 -21x = -17 + -40 Combine like terms: -17 + -40 = -57 -21x = -57 Divide each side by '-21'. x = 2.714285714 Simplifying x = 2.714285714
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