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Simplifying 10(x + -2) + 15 = 8(x + 7) Reorder the terms: 10(-2 + x) + 15 = 8(x + 7) (-2 * 10 + x * 10) + 15 = 8(x + 7) (-20 + 10x) + 15 = 8(x + 7) Reorder the terms: -20 + 15 + 10x = 8(x + 7) Combine like terms: -20 + 15 = -5 -5 + 10x = 8(x + 7) Reorder the terms: -5 + 10x = 8(7 + x) -5 + 10x = (7 * 8 + x * 8) -5 + 10x = (56 + 8x) Solving -5 + 10x = 56 + 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 = 56 + 8x + -8x Combine like terms: 10x + -8x = 2x -5 + 2x = 56 + 8x + -8x Combine like terms: 8x + -8x = 0 -5 + 2x = 56 + 0 -5 + 2x = 56 Add '5' to each side of the equation. -5 + 5 + 2x = 56 + 5 Combine like terms: -5 + 5 = 0 0 + 2x = 56 + 5 2x = 56 + 5 Combine like terms: 56 + 5 = 61 2x = 61 Divide each side by '2'. x = 30.5 Simplifying x = 30.5
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