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Simplifying 17 + -1x = 4(7x + -3) Reorder the terms: 17 + -1x = 4(-3 + 7x) 17 + -1x = (-3 * 4 + 7x * 4) 17 + -1x = (-12 + 28x) Solving 17 + -1x = -12 + 28x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-28x' to each side of the equation. 17 + -1x + -28x = -12 + 28x + -28x Combine like terms: -1x + -28x = -29x 17 + -29x = -12 + 28x + -28x Combine like terms: 28x + -28x = 0 17 + -29x = -12 + 0 17 + -29x = -12 Add '-17' to each side of the equation. 17 + -17 + -29x = -12 + -17 Combine like terms: 17 + -17 = 0 0 + -29x = -12 + -17 -29x = -12 + -17 Combine like terms: -12 + -17 = -29 -29x = -29 Divide each side by '-29'. x = 1 Simplifying x = 1
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