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Simplifying 2(x + -17) = 3(3x + -5) Reorder the terms: 2(-17 + x) = 3(3x + -5) (-17 * 2 + x * 2) = 3(3x + -5) (-34 + 2x) = 3(3x + -5) Reorder the terms: -34 + 2x = 3(-5 + 3x) -34 + 2x = (-5 * 3 + 3x * 3) -34 + 2x = (-15 + 9x) Solving -34 + 2x = -15 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -34 + 2x + -9x = -15 + 9x + -9x Combine like terms: 2x + -9x = -7x -34 + -7x = -15 + 9x + -9x Combine like terms: 9x + -9x = 0 -34 + -7x = -15 + 0 -34 + -7x = -15 Add '34' to each side of the equation. -34 + 34 + -7x = -15 + 34 Combine like terms: -34 + 34 = 0 0 + -7x = -15 + 34 -7x = -15 + 34 Combine like terms: -15 + 34 = 19 -7x = 19 Divide each side by '-7'. x = -2.714285714 Simplifying x = -2.714285714
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