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Simplifying -2(x + -17) = 3(-3x + -12) Reorder the terms: -2(-17 + x) = 3(-3x + -12) (-17 * -2 + x * -2) = 3(-3x + -12) (34 + -2x) = 3(-3x + -12) Reorder the terms: 34 + -2x = 3(-12 + -3x) 34 + -2x = (-12 * 3 + -3x * 3) 34 + -2x = (-36 + -9x) Solving 34 + -2x = -36 + -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 = -36 + -9x + 9x Combine like terms: -2x + 9x = 7x 34 + 7x = -36 + -9x + 9x Combine like terms: -9x + 9x = 0 34 + 7x = -36 + 0 34 + 7x = -36 Add '-34' to each side of the equation. 34 + -34 + 7x = -36 + -34 Combine like terms: 34 + -34 = 0 0 + 7x = -36 + -34 7x = -36 + -34 Combine like terms: -36 + -34 = -70 7x = -70 Divide each side by '7'. x = -10 Simplifying x = -10
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