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Simplifying 2(x + -5) + -3(2x + 5) = 5x + 17 Reorder the terms: 2(-5 + x) + -3(2x + 5) = 5x + 17 (-5 * 2 + x * 2) + -3(2x + 5) = 5x + 17 (-10 + 2x) + -3(2x + 5) = 5x + 17 Reorder the terms: -10 + 2x + -3(5 + 2x) = 5x + 17 -10 + 2x + (5 * -3 + 2x * -3) = 5x + 17 -10 + 2x + (-15 + -6x) = 5x + 17 Reorder the terms: -10 + -15 + 2x + -6x = 5x + 17 Combine like terms: -10 + -15 = -25 -25 + 2x + -6x = 5x + 17 Combine like terms: 2x + -6x = -4x -25 + -4x = 5x + 17 Reorder the terms: -25 + -4x = 17 + 5x Solving -25 + -4x = 17 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -25 + -4x + -5x = 17 + 5x + -5x Combine like terms: -4x + -5x = -9x -25 + -9x = 17 + 5x + -5x Combine like terms: 5x + -5x = 0 -25 + -9x = 17 + 0 -25 + -9x = 17 Add '25' to each side of the equation. -25 + 25 + -9x = 17 + 25 Combine like terms: -25 + 25 = 0 0 + -9x = 17 + 25 -9x = 17 + 25 Combine like terms: 17 + 25 = 42 -9x = 42 Divide each side by '-9'. x = -4.666666667 Simplifying x = -4.666666667
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