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Simplifying -4(2x + -7) = -1(-3x + 5) Reorder the terms: -4(-7 + 2x) = -1(-3x + 5) (-7 * -4 + 2x * -4) = -1(-3x + 5) (28 + -8x) = -1(-3x + 5) Reorder the terms: 28 + -8x = -1(5 + -3x) 28 + -8x = (5 * -1 + -3x * -1) 28 + -8x = (-5 + 3x) Solving 28 + -8x = -5 + 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. 28 + -8x + -3x = -5 + 3x + -3x Combine like terms: -8x + -3x = -11x 28 + -11x = -5 + 3x + -3x Combine like terms: 3x + -3x = 0 28 + -11x = -5 + 0 28 + -11x = -5 Add '-28' to each side of the equation. 28 + -28 + -11x = -5 + -28 Combine like terms: 28 + -28 = 0 0 + -11x = -5 + -28 -11x = -5 + -28 Combine like terms: -5 + -28 = -33 -11x = -33 Divide each side by '-11'. x = 3 Simplifying x = 3
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