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Simplifying 2(5x + -4) + -3(2x + 5) = 1 Reorder the terms: 2(-4 + 5x) + -3(2x + 5) = 1 (-4 * 2 + 5x * 2) + -3(2x + 5) = 1 (-8 + 10x) + -3(2x + 5) = 1 Reorder the terms: -8 + 10x + -3(5 + 2x) = 1 -8 + 10x + (5 * -3 + 2x * -3) = 1 -8 + 10x + (-15 + -6x) = 1 Reorder the terms: -8 + -15 + 10x + -6x = 1 Combine like terms: -8 + -15 = -23 -23 + 10x + -6x = 1 Combine like terms: 10x + -6x = 4x -23 + 4x = 1 Solving -23 + 4x = 1 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '23' to each side of the equation. -23 + 23 + 4x = 1 + 23 Combine like terms: -23 + 23 = 0 0 + 4x = 1 + 23 4x = 1 + 23 Combine like terms: 1 + 23 = 24 4x = 24 Divide each side by '4'. x = 6 Simplifying x = 6
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