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Simplifying 5(4x + -4) + 5(19 + -2x) + -3(3x + 2) = -4 Reorder the terms: 5(-4 + 4x) + 5(19 + -2x) + -3(3x + 2) = -4 (-4 * 5 + 4x * 5) + 5(19 + -2x) + -3(3x + 2) = -4 (-20 + 20x) + 5(19 + -2x) + -3(3x + 2) = -4 -20 + 20x + (19 * 5 + -2x * 5) + -3(3x + 2) = -4 -20 + 20x + (95 + -10x) + -3(3x + 2) = -4 Reorder the terms: -20 + 20x + 95 + -10x + -3(2 + 3x) = -4 -20 + 20x + 95 + -10x + (2 * -3 + 3x * -3) = -4 -20 + 20x + 95 + -10x + (-6 + -9x) = -4 Reorder the terms: -20 + 95 + -6 + 20x + -10x + -9x = -4 Combine like terms: -20 + 95 = 75 75 + -6 + 20x + -10x + -9x = -4 Combine like terms: 75 + -6 = 69 69 + 20x + -10x + -9x = -4 Combine like terms: 20x + -10x = 10x 69 + 10x + -9x = -4 Combine like terms: 10x + -9x = 1x 69 + 1x = -4 Solving 69 + 1x = -4 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-69' to each side of the equation. 69 + -69 + 1x = -4 + -69 Combine like terms: 69 + -69 = 0 0 + 1x = -4 + -69 1x = -4 + -69 Combine like terms: -4 + -69 = -73 1x = -73 Divide each side by '1'. x = -73 Simplifying x = -73
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