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Simplifying 5(5x + -4) + -8(x + -3) = 10(x + 6) Reorder the terms: 5(-4 + 5x) + -8(x + -3) = 10(x + 6) (-4 * 5 + 5x * 5) + -8(x + -3) = 10(x + 6) (-20 + 25x) + -8(x + -3) = 10(x + 6) Reorder the terms: -20 + 25x + -8(-3 + x) = 10(x + 6) -20 + 25x + (-3 * -8 + x * -8) = 10(x + 6) -20 + 25x + (24 + -8x) = 10(x + 6) Reorder the terms: -20 + 24 + 25x + -8x = 10(x + 6) Combine like terms: -20 + 24 = 4 4 + 25x + -8x = 10(x + 6) Combine like terms: 25x + -8x = 17x 4 + 17x = 10(x + 6) Reorder the terms: 4 + 17x = 10(6 + x) 4 + 17x = (6 * 10 + x * 10) 4 + 17x = (60 + 10x) Solving 4 + 17x = 60 + 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 + 17x + -10x = 60 + 10x + -10x Combine like terms: 17x + -10x = 7x 4 + 7x = 60 + 10x + -10x Combine like terms: 10x + -10x = 0 4 + 7x = 60 + 0 4 + 7x = 60 Add '-4' to each side of the equation. 4 + -4 + 7x = 60 + -4 Combine like terms: 4 + -4 = 0 0 + 7x = 60 + -4 7x = 60 + -4 Combine like terms: 60 + -4 = 56 7x = 56 Divide each side by '7'. x = 8 Simplifying x = 8
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