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Simplifying -17 = -4(1 + 4x) + 5(x + -7) -17 = (1 * -4 + 4x * -4) + 5(x + -7) -17 = (-4 + -16x) + 5(x + -7) Reorder the terms: -17 = -4 + -16x + 5(-7 + x) -17 = -4 + -16x + (-7 * 5 + x * 5) -17 = -4 + -16x + (-35 + 5x) Reorder the terms: -17 = -4 + -35 + -16x + 5x Combine like terms: -4 + -35 = -39 -17 = -39 + -16x + 5x Combine like terms: -16x + 5x = -11x -17 = -39 + -11x Solving -17 = -39 + -11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '11x' to each side of the equation. -17 + 11x = -39 + -11x + 11x Combine like terms: -11x + 11x = 0 -17 + 11x = -39 + 0 -17 + 11x = -39 Add '17' to each side of the equation. -17 + 17 + 11x = -39 + 17 Combine like terms: -17 + 17 = 0 0 + 11x = -39 + 17 11x = -39 + 17 Combine like terms: -39 + 17 = -22 11x = -22 Divide each side by '11'. x = -2 Simplifying x = -2
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