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Simplifying 5(x + -2) + -2(x + 5) = 49 + -4x Reorder the terms: 5(-2 + x) + -2(x + 5) = 49 + -4x (-2 * 5 + x * 5) + -2(x + 5) = 49 + -4x (-10 + 5x) + -2(x + 5) = 49 + -4x Reorder the terms: -10 + 5x + -2(5 + x) = 49 + -4x -10 + 5x + (5 * -2 + x * -2) = 49 + -4x -10 + 5x + (-10 + -2x) = 49 + -4x Reorder the terms: -10 + -10 + 5x + -2x = 49 + -4x Combine like terms: -10 + -10 = -20 -20 + 5x + -2x = 49 + -4x Combine like terms: 5x + -2x = 3x -20 + 3x = 49 + -4x Solving -20 + 3x = 49 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -20 + 3x + 4x = 49 + -4x + 4x Combine like terms: 3x + 4x = 7x -20 + 7x = 49 + -4x + 4x Combine like terms: -4x + 4x = 0 -20 + 7x = 49 + 0 -20 + 7x = 49 Add '20' to each side of the equation. -20 + 20 + 7x = 49 + 20 Combine like terms: -20 + 20 = 0 0 + 7x = 49 + 20 7x = 49 + 20 Combine like terms: 49 + 20 = 69 7x = 69 Divide each side by '7'. x = 9.857142857 Simplifying x = 9.857142857
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