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Simplifying 5[-2 + -3 + -4(x + 1)] = 7x + -4 Reorder the terms: 5[-2 + -3 + -4(1 + x)] = 7x + -4 5[-2 + -3 + (1 * -4 + x * -4)] = 7x + -4 5[-2 + -3 + (-4 + -4x)] = 7x + -4 Combine like terms: -2 + -3 = -5 5[-5 + -4 + -4x] = 7x + -4 Combine like terms: -5 + -4 = -9 5[-9 + -4x] = 7x + -4 [-9 * 5 + -4x * 5] = 7x + -4 [-45 + -20x] = 7x + -4 Reorder the terms: -45 + -20x = -4 + 7x Solving -45 + -20x = -4 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -45 + -20x + -7x = -4 + 7x + -7x Combine like terms: -20x + -7x = -27x -45 + -27x = -4 + 7x + -7x Combine like terms: 7x + -7x = 0 -45 + -27x = -4 + 0 -45 + -27x = -4 Add '45' to each side of the equation. -45 + 45 + -27x = -4 + 45 Combine like terms: -45 + 45 = 0 0 + -27x = -4 + 45 -27x = -4 + 45 Combine like terms: -4 + 45 = 41 -27x = 41 Divide each side by '-27'. x = -1.518518519 Simplifying x = -1.518518519
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