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Simplifying 2(x + -2) + 5(x + -5) = 6 Reorder the terms: 2(-2 + x) + 5(x + -5) = 6 (-2 * 2 + x * 2) + 5(x + -5) = 6 (-4 + 2x) + 5(x + -5) = 6 Reorder the terms: -4 + 2x + 5(-5 + x) = 6 -4 + 2x + (-5 * 5 + x * 5) = 6 -4 + 2x + (-25 + 5x) = 6 Reorder the terms: -4 + -25 + 2x + 5x = 6 Combine like terms: -4 + -25 = -29 -29 + 2x + 5x = 6 Combine like terms: 2x + 5x = 7x -29 + 7x = 6 Solving -29 + 7x = 6 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '29' to each side of the equation. -29 + 29 + 7x = 6 + 29 Combine like terms: -29 + 29 = 0 0 + 7x = 6 + 29 7x = 6 + 29 Combine like terms: 6 + 29 = 35 7x = 35 Divide each side by '7'. x = 5 Simplifying x = 5
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