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Simplifying 10(40 + -1x) + 5x = 290 (40 * 10 + -1x * 10) + 5x = 290 (400 + -10x) + 5x = 290 Combine like terms: -10x + 5x = -5x 400 + -5x = 290 Solving 400 + -5x = 290 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-400' to each side of the equation. 400 + -400 + -5x = 290 + -400 Combine like terms: 400 + -400 = 0 0 + -5x = 290 + -400 -5x = 290 + -400 Combine like terms: 290 + -400 = -110 -5x = -110 Divide each side by '-5'. x = 22 Simplifying x = 22
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