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Simplifying 5(4x + 3) = 7(x + -6) + -17 Reorder the terms: 5(3 + 4x) = 7(x + -6) + -17 (3 * 5 + 4x * 5) = 7(x + -6) + -17 (15 + 20x) = 7(x + -6) + -17 Reorder the terms: 15 + 20x = 7(-6 + x) + -17 15 + 20x = (-6 * 7 + x * 7) + -17 15 + 20x = (-42 + 7x) + -17 Reorder the terms: 15 + 20x = -42 + -17 + 7x Combine like terms: -42 + -17 = -59 15 + 20x = -59 + 7x Solving 15 + 20x = -59 + 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. 15 + 20x + -7x = -59 + 7x + -7x Combine like terms: 20x + -7x = 13x 15 + 13x = -59 + 7x + -7x Combine like terms: 7x + -7x = 0 15 + 13x = -59 + 0 15 + 13x = -59 Add '-15' to each side of the equation. 15 + -15 + 13x = -59 + -15 Combine like terms: 15 + -15 = 0 0 + 13x = -59 + -15 13x = -59 + -15 Combine like terms: -59 + -15 = -74 13x = -74 Divide each side by '13'. x = -5.692307692 Simplifying x = -5.692307692
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