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Simplifying 8(x + -10) + -3(x + 15) = 50 Reorder the terms: 8(-10 + x) + -3(x + 15) = 50 (-10 * 8 + x * 8) + -3(x + 15) = 50 (-80 + 8x) + -3(x + 15) = 50 Reorder the terms: -80 + 8x + -3(15 + x) = 50 -80 + 8x + (15 * -3 + x * -3) = 50 -80 + 8x + (-45 + -3x) = 50 Reorder the terms: -80 + -45 + 8x + -3x = 50 Combine like terms: -80 + -45 = -125 -125 + 8x + -3x = 50 Combine like terms: 8x + -3x = 5x -125 + 5x = 50 Solving -125 + 5x = 50 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '125' to each side of the equation. -125 + 125 + 5x = 50 + 125 Combine like terms: -125 + 125 = 0 0 + 5x = 50 + 125 5x = 50 + 125 Combine like terms: 50 + 125 = 175 5x = 175 Divide each side by '5'. x = 35 Simplifying x = 35
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