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Simplifying 23(3x + 4) + -17(5x + 3) = 4(7x + 5) + 60 Reorder the terms: 23(4 + 3x) + -17(5x + 3) = 4(7x + 5) + 60 (4 * 23 + 3x * 23) + -17(5x + 3) = 4(7x + 5) + 60 (92 + 69x) + -17(5x + 3) = 4(7x + 5) + 60 Reorder the terms: 92 + 69x + -17(3 + 5x) = 4(7x + 5) + 60 92 + 69x + (3 * -17 + 5x * -17) = 4(7x + 5) + 60 92 + 69x + (-51 + -85x) = 4(7x + 5) + 60 Reorder the terms: 92 + -51 + 69x + -85x = 4(7x + 5) + 60 Combine like terms: 92 + -51 = 41 41 + 69x + -85x = 4(7x + 5) + 60 Combine like terms: 69x + -85x = -16x 41 + -16x = 4(7x + 5) + 60 Reorder the terms: 41 + -16x = 4(5 + 7x) + 60 41 + -16x = (5 * 4 + 7x * 4) + 60 41 + -16x = (20 + 28x) + 60 Reorder the terms: 41 + -16x = 20 + 60 + 28x Combine like terms: 20 + 60 = 80 41 + -16x = 80 + 28x Solving 41 + -16x = 80 + 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. 41 + -16x + -28x = 80 + 28x + -28x Combine like terms: -16x + -28x = -44x 41 + -44x = 80 + 28x + -28x Combine like terms: 28x + -28x = 0 41 + -44x = 80 + 0 41 + -44x = 80 Add '-41' to each side of the equation. 41 + -41 + -44x = 80 + -41 Combine like terms: 41 + -41 = 0 0 + -44x = 80 + -41 -44x = 80 + -41 Combine like terms: 80 + -41 = 39 -44x = 39 Divide each side by '-44'. x = -0.8863636364 Simplifying x = -0.8863636364
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