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Simplifying 7(x + 4) + -8(x + 3) = 5(2x + -1) Reorder the terms: 7(4 + x) + -8(x + 3) = 5(2x + -1) (4 * 7 + x * 7) + -8(x + 3) = 5(2x + -1) (28 + 7x) + -8(x + 3) = 5(2x + -1) Reorder the terms: 28 + 7x + -8(3 + x) = 5(2x + -1) 28 + 7x + (3 * -8 + x * -8) = 5(2x + -1) 28 + 7x + (-24 + -8x) = 5(2x + -1) Reorder the terms: 28 + -24 + 7x + -8x = 5(2x + -1) Combine like terms: 28 + -24 = 4 4 + 7x + -8x = 5(2x + -1) Combine like terms: 7x + -8x = -1x 4 + -1x = 5(2x + -1) Reorder the terms: 4 + -1x = 5(-1 + 2x) 4 + -1x = (-1 * 5 + 2x * 5) 4 + -1x = (-5 + 10x) Solving 4 + -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. 4 + -1x + -10x = -5 + 10x + -10x Combine like terms: -1x + -10x = -11x 4 + -11x = -5 + 10x + -10x Combine like terms: 10x + -10x = 0 4 + -11x = -5 + 0 4 + -11x = -5 Add '-4' to each side of the equation. 4 + -4 + -11x = -5 + -4 Combine like terms: 4 + -4 = 0 0 + -11x = -5 + -4 -11x = -5 + -4 Combine like terms: -5 + -4 = -9 -11x = -9 Divide each side by '-11'. x = 0.8181818182 Simplifying x = 0.8181818182
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