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Simplifying 4(2x + -5) + -3(5 + x) = 0 Reorder the terms: 4(-5 + 2x) + -3(5 + x) = 0 (-5 * 4 + 2x * 4) + -3(5 + x) = 0 (-20 + 8x) + -3(5 + x) = 0 -20 + 8x + (5 * -3 + x * -3) = 0 -20 + 8x + (-15 + -3x) = 0 Reorder the terms: -20 + -15 + 8x + -3x = 0 Combine like terms: -20 + -15 = -35 -35 + 8x + -3x = 0 Combine like terms: 8x + -3x = 5x -35 + 5x = 0 Solving -35 + 5x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '35' to each side of the equation. -35 + 35 + 5x = 0 + 35 Combine like terms: -35 + 35 = 0 0 + 5x = 0 + 35 5x = 0 + 35 Combine like terms: 0 + 35 = 35 5x = 35 Divide each side by '5'. x = 7 Simplifying x = 7
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