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Simplifying 2(5x + -2) + -5(x + -2) = 29 Reorder the terms: 2(-2 + 5x) + -5(x + -2) = 29 (-2 * 2 + 5x * 2) + -5(x + -2) = 29 (-4 + 10x) + -5(x + -2) = 29 Reorder the terms: -4 + 10x + -5(-2 + x) = 29 -4 + 10x + (-2 * -5 + x * -5) = 29 -4 + 10x + (10 + -5x) = 29 Reorder the terms: -4 + 10 + 10x + -5x = 29 Combine like terms: -4 + 10 = 6 6 + 10x + -5x = 29 Combine like terms: 10x + -5x = 5x 6 + 5x = 29 Solving 6 + 5x = 29 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + 5x = 29 + -6 Combine like terms: 6 + -6 = 0 0 + 5x = 29 + -6 5x = 29 + -6 Combine like terms: 29 + -6 = 23 5x = 23 Divide each side by '5'. x = 4.6 Simplifying x = 4.6
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