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Simplifying 4[4(5x + -1) + -2(3x + -7)] = 2x + -122 Reorder the terms: 4[4(-1 + 5x) + -2(3x + -7)] = 2x + -122 4[(-1 * 4 + 5x * 4) + -2(3x + -7)] = 2x + -122 4[(-4 + 20x) + -2(3x + -7)] = 2x + -122 Reorder the terms: 4[-4 + 20x + -2(-7 + 3x)] = 2x + -122 4[-4 + 20x + (-7 * -2 + 3x * -2)] = 2x + -122 4[-4 + 20x + (14 + -6x)] = 2x + -122 Reorder the terms: 4[-4 + 14 + 20x + -6x] = 2x + -122 Combine like terms: -4 + 14 = 10 4[10 + 20x + -6x] = 2x + -122 Combine like terms: 20x + -6x = 14x 4[10 + 14x] = 2x + -122 [10 * 4 + 14x * 4] = 2x + -122 [40 + 56x] = 2x + -122 Reorder the terms: 40 + 56x = -122 + 2x Solving 40 + 56x = -122 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 40 + 56x + -2x = -122 + 2x + -2x Combine like terms: 56x + -2x = 54x 40 + 54x = -122 + 2x + -2x Combine like terms: 2x + -2x = 0 40 + 54x = -122 + 0 40 + 54x = -122 Add '-40' to each side of the equation. 40 + -40 + 54x = -122 + -40 Combine like terms: 40 + -40 = 0 0 + 54x = -122 + -40 54x = -122 + -40 Combine like terms: -122 + -40 = -162 54x = -162 Divide each side by '54'. x = -3 Simplifying x = -3
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