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Simplifying 6 + (2x + -1) + -1(3 + -4x) + -69 = 5(2 + -3x) + -8(4x + 3) Reorder the terms: 6 + (-1 + 2x) + -1(3 + -4x) + -69 = 5(2 + -3x) + -8(4x + 3) Remove parenthesis around (-1 + 2x) 6 + -1 + 2x + -1(3 + -4x) + -69 = 5(2 + -3x) + -8(4x + 3) 6 + -1 + 2x + (3 * -1 + -4x * -1) + -69 = 5(2 + -3x) + -8(4x + 3) 6 + -1 + 2x + (-3 + 4x) + -69 = 5(2 + -3x) + -8(4x + 3) Reorder the terms: 6 + -1 + -3 + -69 + 2x + 4x = 5(2 + -3x) + -8(4x + 3) Combine like terms: 6 + -1 = 5 5 + -3 + -69 + 2x + 4x = 5(2 + -3x) + -8(4x + 3) Combine like terms: 5 + -3 = 2 2 + -69 + 2x + 4x = 5(2 + -3x) + -8(4x + 3) Combine like terms: 2 + -69 = -67 -67 + 2x + 4x = 5(2 + -3x) + -8(4x + 3) Combine like terms: 2x + 4x = 6x -67 + 6x = 5(2 + -3x) + -8(4x + 3) -67 + 6x = (2 * 5 + -3x * 5) + -8(4x + 3) -67 + 6x = (10 + -15x) + -8(4x + 3) Reorder the terms: -67 + 6x = 10 + -15x + -8(3 + 4x) -67 + 6x = 10 + -15x + (3 * -8 + 4x * -8) -67 + 6x = 10 + -15x + (-24 + -32x) Reorder the terms: -67 + 6x = 10 + -24 + -15x + -32x Combine like terms: 10 + -24 = -14 -67 + 6x = -14 + -15x + -32x Combine like terms: -15x + -32x = -47x -67 + 6x = -14 + -47x Solving -67 + 6x = -14 + -47x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '47x' to each side of the equation. -67 + 6x + 47x = -14 + -47x + 47x Combine like terms: 6x + 47x = 53x -67 + 53x = -14 + -47x + 47x Combine like terms: -47x + 47x = 0 -67 + 53x = -14 + 0 -67 + 53x = -14 Add '67' to each side of the equation. -67 + 67 + 53x = -14 + 67 Combine like terms: -67 + 67 = 0 0 + 53x = -14 + 67 53x = -14 + 67 Combine like terms: -14 + 67 = 53 53x = 53 Divide each side by '53'. x = 1 Simplifying x = 1
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