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Simplifying 8(3x + 5) = 7(x + -5) + 9 Reorder the terms: 8(5 + 3x) = 7(x + -5) + 9 (5 * 8 + 3x * 8) = 7(x + -5) + 9 (40 + 24x) = 7(x + -5) + 9 Reorder the terms: 40 + 24x = 7(-5 + x) + 9 40 + 24x = (-5 * 7 + x * 7) + 9 40 + 24x = (-35 + 7x) + 9 Reorder the terms: 40 + 24x = -35 + 9 + 7x Combine like terms: -35 + 9 = -26 40 + 24x = -26 + 7x Solving 40 + 24x = -26 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 40 + 24x + -7x = -26 + 7x + -7x Combine like terms: 24x + -7x = 17x 40 + 17x = -26 + 7x + -7x Combine like terms: 7x + -7x = 0 40 + 17x = -26 + 0 40 + 17x = -26 Add '-40' to each side of the equation. 40 + -40 + 17x = -26 + -40 Combine like terms: 40 + -40 = 0 0 + 17x = -26 + -40 17x = -26 + -40 Combine like terms: -26 + -40 = -66 17x = -66 Divide each side by '17'. x = -3.882352941 Simplifying x = -3.882352941
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