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Simplifying -4(45 + x) = -4(4(45 + x)) (45 * -4 + x * -4) = -4(4(45 + x)) (-180 + -4x) = -4(4(45 + x)) -180 + -4x = -4((45 * 4 + x * 4)) -180 + -4x = -4((180 + 4x)) -180 + -4x = (180 * -4 + 4x * -4) -180 + -4x = (-720 + -16x) Solving -180 + -4x = -720 + -16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '16x' to each side of the equation. -180 + -4x + 16x = -720 + -16x + 16x Combine like terms: -4x + 16x = 12x -180 + 12x = -720 + -16x + 16x Combine like terms: -16x + 16x = 0 -180 + 12x = -720 + 0 -180 + 12x = -720 Add '180' to each side of the equation. -180 + 180 + 12x = -720 + 180 Combine like terms: -180 + 180 = 0 0 + 12x = -720 + 180 12x = -720 + 180 Combine like terms: -720 + 180 = -540 12x = -540 Divide each side by '12'. x = -45 Simplifying x = -45
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