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Simplifying 7(x + 4) + -1(8x + 3) = 5(2x + -1) Reorder the terms: 7(4 + x) + -1(8x + 3) = 5(2x + -1) (4 * 7 + x * 7) + -1(8x + 3) = 5(2x + -1) (28 + 7x) + -1(8x + 3) = 5(2x + -1) Reorder the terms: 28 + 7x + -1(3 + 8x) = 5(2x + -1) 28 + 7x + (3 * -1 + 8x * -1) = 5(2x + -1) 28 + 7x + (-3 + -8x) = 5(2x + -1) Reorder the terms: 28 + -3 + 7x + -8x = 5(2x + -1) Combine like terms: 28 + -3 = 25 25 + 7x + -8x = 5(2x + -1) Combine like terms: 7x + -8x = -1x 25 + -1x = 5(2x + -1) Reorder the terms: 25 + -1x = 5(-1 + 2x) 25 + -1x = (-1 * 5 + 2x * 5) 25 + -1x = (-5 + 10x) Solving 25 + -1x = -5 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 25 + -1x + -10x = -5 + 10x + -10x Combine like terms: -1x + -10x = -11x 25 + -11x = -5 + 10x + -10x Combine like terms: 10x + -10x = 0 25 + -11x = -5 + 0 25 + -11x = -5 Add '-25' to each side of the equation. 25 + -25 + -11x = -5 + -25 Combine like terms: 25 + -25 = 0 0 + -11x = -5 + -25 -11x = -5 + -25 Combine like terms: -5 + -25 = -30 -11x = -30 Divide each side by '-11'. x = 2.727272727 Simplifying x = 2.727272727
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