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Simplifying 5(4(3 + -2(x + -1)) + 2) = 2(55 + -1x) Reorder the terms: 5(4(3 + -2(-1 + x)) + 2) = 2(55 + -1x) 5(4(3 + (-1 * -2 + x * -2)) + 2) = 2(55 + -1x) 5(4(3 + (2 + -2x)) + 2) = 2(55 + -1x) Combine like terms: 3 + 2 = 5 5(4(5 + -2x) + 2) = 2(55 + -1x) 5((5 * 4 + -2x * 4) + 2) = 2(55 + -1x) 5((20 + -8x) + 2) = 2(55 + -1x) Reorder the terms: 5(20 + 2 + -8x) = 2(55 + -1x) Combine like terms: 20 + 2 = 22 5(22 + -8x) = 2(55 + -1x) (22 * 5 + -8x * 5) = 2(55 + -1x) (110 + -40x) = 2(55 + -1x) 110 + -40x = (55 * 2 + -1x * 2) 110 + -40x = (110 + -2x) Add '-110' to each side of the equation. 110 + -110 + -40x = 110 + -110 + -2x Combine like terms: 110 + -110 = 0 0 + -40x = 110 + -110 + -2x -40x = 110 + -110 + -2x Combine like terms: 110 + -110 = 0 -40x = 0 + -2x -40x = -2x Solving -40x = -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. -40x + 2x = -2x + 2x Combine like terms: -40x + 2x = -38x -38x = -2x + 2x Combine like terms: -2x + 2x = 0 -38x = 0 Divide each side by '-38'. x = 0 Simplifying x = 0
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