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Simplifying 2(5x + -3) + -1(2x + -4) = 5 Reorder the terms: 2(-3 + 5x) + -1(2x + -4) = 5 (-3 * 2 + 5x * 2) + -1(2x + -4) = 5 (-6 + 10x) + -1(2x + -4) = 5 Reorder the terms: -6 + 10x + -1(-4 + 2x) = 5 -6 + 10x + (-4 * -1 + 2x * -1) = 5 -6 + 10x + (4 + -2x) = 5 Reorder the terms: -6 + 4 + 10x + -2x = 5 Combine like terms: -6 + 4 = -2 -2 + 10x + -2x = 5 Combine like terms: 10x + -2x = 8x -2 + 8x = 5 Solving -2 + 8x = 5 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 8x = 5 + 2 Combine like terms: -2 + 2 = 0 0 + 8x = 5 + 2 8x = 5 + 2 Combine like terms: 5 + 2 = 7 8x = 7 Divide each side by '8'. x = 0.875 Simplifying x = 0.875
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