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Simplifying -4(2x + -5) = -3(x + 7) Reorder the terms: -4(-5 + 2x) = -3(x + 7) (-5 * -4 + 2x * -4) = -3(x + 7) (20 + -8x) = -3(x + 7) Reorder the terms: 20 + -8x = -3(7 + x) 20 + -8x = (7 * -3 + x * -3) 20 + -8x = (-21 + -3x) Solving 20 + -8x = -21 + -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 = -21 + -3x + 3x Combine like terms: -8x + 3x = -5x 20 + -5x = -21 + -3x + 3x Combine like terms: -3x + 3x = 0 20 + -5x = -21 + 0 20 + -5x = -21 Add '-20' to each side of the equation. 20 + -20 + -5x = -21 + -20 Combine like terms: 20 + -20 = 0 0 + -5x = -21 + -20 -5x = -21 + -20 Combine like terms: -21 + -20 = -41 -5x = -41 Divide each side by '-5'. x = 8.2 Simplifying x = 8.2
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