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Simplifying 2(5x + -3) + -2(x + 1) = 8 Reorder the terms: 2(-3 + 5x) + -2(x + 1) = 8 (-3 * 2 + 5x * 2) + -2(x + 1) = 8 (-6 + 10x) + -2(x + 1) = 8 Reorder the terms: -6 + 10x + -2(1 + x) = 8 -6 + 10x + (1 * -2 + x * -2) = 8 -6 + 10x + (-2 + -2x) = 8 Reorder the terms: -6 + -2 + 10x + -2x = 8 Combine like terms: -6 + -2 = -8 -8 + 10x + -2x = 8 Combine like terms: 10x + -2x = 8x -8 + 8x = 8 Solving -8 + 8x = 8 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + 8x = 8 + 8 Combine like terms: -8 + 8 = 0 0 + 8x = 8 + 8 8x = 8 + 8 Combine like terms: 8 + 8 = 16 8x = 16 Divide each side by '8'. x = 2 Simplifying x = 2
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