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Simplifying -9(x + -5) = -3(1 + 4x) Reorder the terms: -9(-5 + x) = -3(1 + 4x) (-5 * -9 + x * -9) = -3(1 + 4x) (45 + -9x) = -3(1 + 4x) 45 + -9x = (1 * -3 + 4x * -3) 45 + -9x = (-3 + -12x) Solving 45 + -9x = -3 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. 45 + -9x + 12x = -3 + -12x + 12x Combine like terms: -9x + 12x = 3x 45 + 3x = -3 + -12x + 12x Combine like terms: -12x + 12x = 0 45 + 3x = -3 + 0 45 + 3x = -3 Add '-45' to each side of the equation. 45 + -45 + 3x = -3 + -45 Combine like terms: 45 + -45 = 0 0 + 3x = -3 + -45 3x = -3 + -45 Combine like terms: -3 + -45 = -48 3x = -48 Divide each side by '3'. x = -16 Simplifying x = -16
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