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Simplifying 8x + 2(x + -5) = 5(x + 1) + -3 Reorder the terms: 8x + 2(-5 + x) = 5(x + 1) + -3 8x + (-5 * 2 + x * 2) = 5(x + 1) + -3 8x + (-10 + 2x) = 5(x + 1) + -3 Reorder the terms: -10 + 8x + 2x = 5(x + 1) + -3 Combine like terms: 8x + 2x = 10x -10 + 10x = 5(x + 1) + -3 Reorder the terms: -10 + 10x = 5(1 + x) + -3 -10 + 10x = (1 * 5 + x * 5) + -3 -10 + 10x = (5 + 5x) + -3 Reorder the terms: -10 + 10x = 5 + -3 + 5x Combine like terms: 5 + -3 = 2 -10 + 10x = 2 + 5x Solving -10 + 10x = 2 + 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. -10 + 10x + -5x = 2 + 5x + -5x Combine like terms: 10x + -5x = 5x -10 + 5x = 2 + 5x + -5x Combine like terms: 5x + -5x = 0 -10 + 5x = 2 + 0 -10 + 5x = 2 Add '10' to each side of the equation. -10 + 10 + 5x = 2 + 10 Combine like terms: -10 + 10 = 0 0 + 5x = 2 + 10 5x = 2 + 10 Combine like terms: 2 + 10 = 12 5x = 12 Divide each side by '5'. x = 2.4 Simplifying x = 2.4
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