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Simplifying 7(x + 4) + -8(x + 3) = 5(2 + -1x) Reorder the terms: 7(4 + x) + -8(x + 3) = 5(2 + -1x) (4 * 7 + x * 7) + -8(x + 3) = 5(2 + -1x) (28 + 7x) + -8(x + 3) = 5(2 + -1x) Reorder the terms: 28 + 7x + -8(3 + x) = 5(2 + -1x) 28 + 7x + (3 * -8 + x * -8) = 5(2 + -1x) 28 + 7x + (-24 + -8x) = 5(2 + -1x) Reorder the terms: 28 + -24 + 7x + -8x = 5(2 + -1x) Combine like terms: 28 + -24 = 4 4 + 7x + -8x = 5(2 + -1x) Combine like terms: 7x + -8x = -1x 4 + -1x = 5(2 + -1x) 4 + -1x = (2 * 5 + -1x * 5) 4 + -1x = (10 + -5x) Solving 4 + -1x = 10 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 4 + -1x + 5x = 10 + -5x + 5x Combine like terms: -1x + 5x = 4x 4 + 4x = 10 + -5x + 5x Combine like terms: -5x + 5x = 0 4 + 4x = 10 + 0 4 + 4x = 10 Add '-4' to each side of the equation. 4 + -4 + 4x = 10 + -4 Combine like terms: 4 + -4 = 0 0 + 4x = 10 + -4 4x = 10 + -4 Combine like terms: 10 + -4 = 6 4x = 6 Divide each side by '4'. x = 1.5 Simplifying x = 1.5
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