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Simplifying 5(3x + 2) + 7(4x + -17) = 7x + -4 Reorder the terms: 5(2 + 3x) + 7(4x + -17) = 7x + -4 (2 * 5 + 3x * 5) + 7(4x + -17) = 7x + -4 (10 + 15x) + 7(4x + -17) = 7x + -4 Reorder the terms: 10 + 15x + 7(-17 + 4x) = 7x + -4 10 + 15x + (-17 * 7 + 4x * 7) = 7x + -4 10 + 15x + (-119 + 28x) = 7x + -4 Reorder the terms: 10 + -119 + 15x + 28x = 7x + -4 Combine like terms: 10 + -119 = -109 -109 + 15x + 28x = 7x + -4 Combine like terms: 15x + 28x = 43x -109 + 43x = 7x + -4 Reorder the terms: -109 + 43x = -4 + 7x Solving -109 + 43x = -4 + 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. -109 + 43x + -7x = -4 + 7x + -7x Combine like terms: 43x + -7x = 36x -109 + 36x = -4 + 7x + -7x Combine like terms: 7x + -7x = 0 -109 + 36x = -4 + 0 -109 + 36x = -4 Add '109' to each side of the equation. -109 + 109 + 36x = -4 + 109 Combine like terms: -109 + 109 = 0 0 + 36x = -4 + 109 36x = -4 + 109 Combine like terms: -4 + 109 = 105 36x = 105 Divide each side by '36'. x = 2.916666667 Simplifying x = 2.916666667
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