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Simplifying 10(x + 5) + -9(x + -3) = 8(x + 3) Reorder the terms: 10(5 + x) + -9(x + -3) = 8(x + 3) (5 * 10 + x * 10) + -9(x + -3) = 8(x + 3) (50 + 10x) + -9(x + -3) = 8(x + 3) Reorder the terms: 50 + 10x + -9(-3 + x) = 8(x + 3) 50 + 10x + (-3 * -9 + x * -9) = 8(x + 3) 50 + 10x + (27 + -9x) = 8(x + 3) Reorder the terms: 50 + 27 + 10x + -9x = 8(x + 3) Combine like terms: 50 + 27 = 77 77 + 10x + -9x = 8(x + 3) Combine like terms: 10x + -9x = 1x 77 + 1x = 8(x + 3) Reorder the terms: 77 + 1x = 8(3 + x) 77 + 1x = (3 * 8 + x * 8) 77 + 1x = (24 + 8x) Solving 77 + 1x = 24 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 77 + 1x + -8x = 24 + 8x + -8x Combine like terms: 1x + -8x = -7x 77 + -7x = 24 + 8x + -8x Combine like terms: 8x + -8x = 0 77 + -7x = 24 + 0 77 + -7x = 24 Add '-77' to each side of the equation. 77 + -77 + -7x = 24 + -77 Combine like terms: 77 + -77 = 0 0 + -7x = 24 + -77 -7x = 24 + -77 Combine like terms: 24 + -77 = -53 -7x = -53 Divide each side by '-7'. x = 7.571428571 Simplifying x = 7.571428571
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