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Simplifying 10x + 2 + -2 = 8(x + 1) + -7 Reorder the terms: 2 + -2 + 10x = 8(x + 1) + -7 Combine like terms: 2 + -2 = 0 0 + 10x = 8(x + 1) + -7 10x = 8(x + 1) + -7 Reorder the terms: 10x = 8(1 + x) + -7 10x = (1 * 8 + x * 8) + -7 10x = (8 + 8x) + -7 Reorder the terms: 10x = 8 + -7 + 8x Combine like terms: 8 + -7 = 1 10x = 1 + 8x Solving 10x = 1 + 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. 10x + -8x = 1 + 8x + -8x Combine like terms: 10x + -8x = 2x 2x = 1 + 8x + -8x Combine like terms: 8x + -8x = 0 2x = 1 + 0 2x = 1 Divide each side by '2'. x = 0.5 Simplifying x = 0.5
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