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Simplifying 7(x + 4) + -8(x + 4) = 5(2x + -1) Reorder the terms: 7(4 + x) + -8(x + 4) = 5(2x + -1) (4 * 7 + x * 7) + -8(x + 4) = 5(2x + -1) (28 + 7x) + -8(x + 4) = 5(2x + -1) Reorder the terms: 28 + 7x + -8(4 + x) = 5(2x + -1) 28 + 7x + (4 * -8 + x * -8) = 5(2x + -1) 28 + 7x + (-32 + -8x) = 5(2x + -1) Reorder the terms: 28 + -32 + 7x + -8x = 5(2x + -1) Combine like terms: 28 + -32 = -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 = -1 -11x = -1 Divide each side by '-11'. x = 0.09090909091 Simplifying x = 0.09090909091
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