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Simplifying 10x + 30x + -8 = (5x + 7) Reorder the terms: -8 + 10x + 30x = (5x + 7) Combine like terms: 10x + 30x = 40x -8 + 40x = (5x + 7) Reorder the terms: -8 + 40x = (7 + 5x) Remove parenthesis around (7 + 5x) -8 + 40x = 7 + 5x Solving -8 + 40x = 7 + 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. -8 + 40x + -5x = 7 + 5x + -5x Combine like terms: 40x + -5x = 35x -8 + 35x = 7 + 5x + -5x Combine like terms: 5x + -5x = 0 -8 + 35x = 7 + 0 -8 + 35x = 7 Add '8' to each side of the equation. -8 + 8 + 35x = 7 + 8 Combine like terms: -8 + 8 = 0 0 + 35x = 7 + 8 35x = 7 + 8 Combine like terms: 7 + 8 = 15 35x = 15 Divide each side by '35'. x = 0.4285714286 Simplifying x = 0.4285714286
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