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Simplifying 10(x + -2) = 15 + 8x + 7 Reorder the terms: 10(-2 + x) = 15 + 8x + 7 (-2 * 10 + x * 10) = 15 + 8x + 7 (-20 + 10x) = 15 + 8x + 7 Reorder the terms: -20 + 10x = 15 + 7 + 8x Combine like terms: 15 + 7 = 22 -20 + 10x = 22 + 8x Solving -20 + 10x = 22 + 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. -20 + 10x + -8x = 22 + 8x + -8x Combine like terms: 10x + -8x = 2x -20 + 2x = 22 + 8x + -8x Combine like terms: 8x + -8x = 0 -20 + 2x = 22 + 0 -20 + 2x = 22 Add '20' to each side of the equation. -20 + 20 + 2x = 22 + 20 Combine like terms: -20 + 20 = 0 0 + 2x = 22 + 20 2x = 22 + 20 Combine like terms: 22 + 20 = 42 2x = 42 Divide each side by '2'. x = 21 Simplifying x = 21
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