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Simplifying -4(2x + -5) = 3x + -13 Reorder the terms: -4(-5 + 2x) = 3x + -13 (-5 * -4 + 2x * -4) = 3x + -13 (20 + -8x) = 3x + -13 Reorder the terms: 20 + -8x = -13 + 3x Solving 20 + -8x = -13 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 20 + -8x + -3x = -13 + 3x + -3x Combine like terms: -8x + -3x = -11x 20 + -11x = -13 + 3x + -3x Combine like terms: 3x + -3x = 0 20 + -11x = -13 + 0 20 + -11x = -13 Add '-20' to each side of the equation. 20 + -20 + -11x = -13 + -20 Combine like terms: 20 + -20 = 0 0 + -11x = -13 + -20 -11x = -13 + -20 Combine like terms: -13 + -20 = -33 -11x = -33 Divide each side by '-11'. x = 3 Simplifying x = 3
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