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Simplifying 5(x + -3) + -9x = 2(x + 17) Reorder the terms: 5(-3 + x) + -9x = 2(x + 17) (-3 * 5 + x * 5) + -9x = 2(x + 17) (-15 + 5x) + -9x = 2(x + 17) Combine like terms: 5x + -9x = -4x -15 + -4x = 2(x + 17) Reorder the terms: -15 + -4x = 2(17 + x) -15 + -4x = (17 * 2 + x * 2) -15 + -4x = (34 + 2x) Solving -15 + -4x = 34 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -15 + -4x + -2x = 34 + 2x + -2x Combine like terms: -4x + -2x = -6x -15 + -6x = 34 + 2x + -2x Combine like terms: 2x + -2x = 0 -15 + -6x = 34 + 0 -15 + -6x = 34 Add '15' to each side of the equation. -15 + 15 + -6x = 34 + 15 Combine like terms: -15 + 15 = 0 0 + -6x = 34 + 15 -6x = 34 + 15 Combine like terms: 34 + 15 = 49 -6x = 49 Divide each side by '-6'. x = -8.166666667 Simplifying x = -8.166666667
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