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Simplifying -3x + 2 = 4(2x + -5) Reorder the terms: 2 + -3x = 4(2x + -5) Reorder the terms: 2 + -3x = 4(-5 + 2x) 2 + -3x = (-5 * 4 + 2x * 4) 2 + -3x = (-20 + 8x) Solving 2 + -3x = -20 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 2 + -3x + -8x = -20 + 8x + -8x Combine like terms: -3x + -8x = -11x 2 + -11x = -20 + 8x + -8x Combine like terms: 8x + -8x = 0 2 + -11x = -20 + 0 2 + -11x = -20 Add '-2' to each side of the equation. 2 + -2 + -11x = -20 + -2 Combine like terms: 2 + -2 = 0 0 + -11x = -20 + -2 -11x = -20 + -2 Combine like terms: -20 + -2 = -22 -11x = -22 Divide each side by '-11'. x = 2 Simplifying x = 2
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