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Simplifying 6(2x + -1) + -2(3 + -4x) + -69 = 5(2 + -3x) + -8(4x + 3) Reorder the terms: 6(-1 + 2x) + -2(3 + -4x) + -69 = 5(2 + -3x) + -8(4x + 3) (-1 * 6 + 2x * 6) + -2(3 + -4x) + -69 = 5(2 + -3x) + -8(4x + 3) (-6 + 12x) + -2(3 + -4x) + -69 = 5(2 + -3x) + -8(4x + 3) -6 + 12x + (3 * -2 + -4x * -2) + -69 = 5(2 + -3x) + -8(4x + 3) -6 + 12x + (-6 + 8x) + -69 = 5(2 + -3x) + -8(4x + 3) Reorder the terms: -6 + -6 + -69 + 12x + 8x = 5(2 + -3x) + -8(4x + 3) Combine like terms: -6 + -6 = -12 -12 + -69 + 12x + 8x = 5(2 + -3x) + -8(4x + 3) Combine like terms: -12 + -69 = -81 -81 + 12x + 8x = 5(2 + -3x) + -8(4x + 3) Combine like terms: 12x + 8x = 20x -81 + 20x = 5(2 + -3x) + -8(4x + 3) -81 + 20x = (2 * 5 + -3x * 5) + -8(4x + 3) -81 + 20x = (10 + -15x) + -8(4x + 3) Reorder the terms: -81 + 20x = 10 + -15x + -8(3 + 4x) -81 + 20x = 10 + -15x + (3 * -8 + 4x * -8) -81 + 20x = 10 + -15x + (-24 + -32x) Reorder the terms: -81 + 20x = 10 + -24 + -15x + -32x Combine like terms: 10 + -24 = -14 -81 + 20x = -14 + -15x + -32x Combine like terms: -15x + -32x = -47x -81 + 20x = -14 + -47x Solving -81 + 20x = -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. -81 + 20x + 47x = -14 + -47x + 47x Combine like terms: 20x + 47x = 67x -81 + 67x = -14 + -47x + 47x Combine like terms: -47x + 47x = 0 -81 + 67x = -14 + 0 -81 + 67x = -14 Add '81' to each side of the equation. -81 + 81 + 67x = -14 + 81 Combine like terms: -81 + 81 = 0 0 + 67x = -14 + 81 67x = -14 + 81 Combine like terms: -14 + 81 = 67 67x = 67 Divide each side by '67'. x = 1 Simplifying x = 1
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