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Simplifying 3(11(x + 2) + -2(2 + -5x)) = 2(8(3 + 4x) + 5) + -1(6x + 11) Reorder the terms: 3(11(2 + x) + -2(2 + -5x)) = 2(8(3 + 4x) + 5) + -1(6x + 11) 3((2 * 11 + x * 11) + -2(2 + -5x)) = 2(8(3 + 4x) + 5) + -1(6x + 11) 3((22 + 11x) + -2(2 + -5x)) = 2(8(3 + 4x) + 5) + -1(6x + 11) 3(22 + 11x + (2 * -2 + -5x * -2)) = 2(8(3 + 4x) + 5) + -1(6x + 11) 3(22 + 11x + (-4 + 10x)) = 2(8(3 + 4x) + 5) + -1(6x + 11) Reorder the terms: 3(22 + -4 + 11x + 10x) = 2(8(3 + 4x) + 5) + -1(6x + 11) Combine like terms: 22 + -4 = 18 3(18 + 11x + 10x) = 2(8(3 + 4x) + 5) + -1(6x + 11) Combine like terms: 11x + 10x = 21x 3(18 + 21x) = 2(8(3 + 4x) + 5) + -1(6x + 11) (18 * 3 + 21x * 3) = 2(8(3 + 4x) + 5) + -1(6x + 11) (54 + 63x) = 2(8(3 + 4x) + 5) + -1(6x + 11) 54 + 63x = 2((3 * 8 + 4x * 8) + 5) + -1(6x + 11) 54 + 63x = 2((24 + 32x) + 5) + -1(6x + 11) Reorder the terms: 54 + 63x = 2(24 + 5 + 32x) + -1(6x + 11) Combine like terms: 24 + 5 = 29 54 + 63x = 2(29 + 32x) + -1(6x + 11) 54 + 63x = (29 * 2 + 32x * 2) + -1(6x + 11) 54 + 63x = (58 + 64x) + -1(6x + 11) Reorder the terms: 54 + 63x = 58 + 64x + -1(11 + 6x) 54 + 63x = 58 + 64x + (11 * -1 + 6x * -1) 54 + 63x = 58 + 64x + (-11 + -6x) Reorder the terms: 54 + 63x = 58 + -11 + 64x + -6x Combine like terms: 58 + -11 = 47 54 + 63x = 47 + 64x + -6x Combine like terms: 64x + -6x = 58x 54 + 63x = 47 + 58x Solving 54 + 63x = 47 + 58x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-58x' to each side of the equation. 54 + 63x + -58x = 47 + 58x + -58x Combine like terms: 63x + -58x = 5x 54 + 5x = 47 + 58x + -58x Combine like terms: 58x + -58x = 0 54 + 5x = 47 + 0 54 + 5x = 47 Add '-54' to each side of the equation. 54 + -54 + 5x = 47 + -54 Combine like terms: 54 + -54 = 0 0 + 5x = 47 + -54 5x = 47 + -54 Combine like terms: 47 + -54 = -7 5x = -7 Divide each side by '5'. x = -1.4 Simplifying x = -1.4
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