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Simplifying 10(x + -2) + 15 = 8x + 17 Reorder the terms: 10(-2 + x) + 15 = 8x + 17 (-2 * 10 + x * 10) + 15 = 8x + 17 (-20 + 10x) + 15 = 8x + 17 Reorder the terms: -20 + 15 + 10x = 8x + 17 Combine like terms: -20 + 15 = -5 -5 + 10x = 8x + 17 Reorder the terms: -5 + 10x = 17 + 8x Solving -5 + 10x = 17 + 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. -5 + 10x + -8x = 17 + 8x + -8x Combine like terms: 10x + -8x = 2x -5 + 2x = 17 + 8x + -8x Combine like terms: 8x + -8x = 0 -5 + 2x = 17 + 0 -5 + 2x = 17 Add '5' to each side of the equation. -5 + 5 + 2x = 17 + 5 Combine like terms: -5 + 5 = 0 0 + 2x = 17 + 5 2x = 17 + 5 Combine like terms: 17 + 5 = 22 2x = 22 Divide each side by '2'. x = 11 Simplifying x = 11
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