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Simplifying 8(x + 2) + 2(x + 2) = 5x + -5 Reorder the terms: 8(2 + x) + 2(x + 2) = 5x + -5 (2 * 8 + x * 8) + 2(x + 2) = 5x + -5 (16 + 8x) + 2(x + 2) = 5x + -5 Reorder the terms: 16 + 8x + 2(2 + x) = 5x + -5 16 + 8x + (2 * 2 + x * 2) = 5x + -5 16 + 8x + (4 + 2x) = 5x + -5 Reorder the terms: 16 + 4 + 8x + 2x = 5x + -5 Combine like terms: 16 + 4 = 20 20 + 8x + 2x = 5x + -5 Combine like terms: 8x + 2x = 10x 20 + 10x = 5x + -5 Reorder the terms: 20 + 10x = -5 + 5x Solving 20 + 10x = -5 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 20 + 10x + -5x = -5 + 5x + -5x Combine like terms: 10x + -5x = 5x 20 + 5x = -5 + 5x + -5x Combine like terms: 5x + -5x = 0 20 + 5x = -5 + 0 20 + 5x = -5 Add '-20' to each side of the equation. 20 + -20 + 5x = -5 + -20 Combine like terms: 20 + -20 = 0 0 + 5x = -5 + -20 5x = -5 + -20 Combine like terms: -5 + -20 = -25 5x = -25 Divide each side by '5'. x = -5 Simplifying x = -5
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