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Simplifying 8x + -5(2 + x) = 2(x + 1) 8x + (2 * -5 + x * -5) = 2(x + 1) 8x + (-10 + -5x) = 2(x + 1) Reorder the terms: -10 + 8x + -5x = 2(x + 1) Combine like terms: 8x + -5x = 3x -10 + 3x = 2(x + 1) Reorder the terms: -10 + 3x = 2(1 + x) -10 + 3x = (1 * 2 + x * 2) -10 + 3x = (2 + 2x) Solving -10 + 3x = 2 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -10 + 3x + -2x = 2 + 2x + -2x Combine like terms: 3x + -2x = 1x -10 + 1x = 2 + 2x + -2x Combine like terms: 2x + -2x = 0 -10 + 1x = 2 + 0 -10 + 1x = 2 Add '10' to each side of the equation. -10 + 10 + 1x = 2 + 10 Combine like terms: -10 + 10 = 0 0 + 1x = 2 + 10 1x = 2 + 10 Combine like terms: 2 + 10 = 12 1x = 12 Divide each side by '1'. x = 12 Simplifying x = 12
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