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Simplifying 6x + -12 + 6x + -12 + 4x + -1 = -1x + -7x + 12 + -3x + 5 Reorder the terms: -12 + -12 + -1 + 6x + 6x + 4x = -1x + -7x + 12 + -3x + 5 Combine like terms: -12 + -12 = -24 -24 + -1 + 6x + 6x + 4x = -1x + -7x + 12 + -3x + 5 Combine like terms: -24 + -1 = -25 -25 + 6x + 6x + 4x = -1x + -7x + 12 + -3x + 5 Combine like terms: 6x + 6x = 12x -25 + 12x + 4x = -1x + -7x + 12 + -3x + 5 Combine like terms: 12x + 4x = 16x -25 + 16x = -1x + -7x + 12 + -3x + 5 Reorder the terms: -25 + 16x = 12 + 5 + -1x + -7x + -3x Combine like terms: 12 + 5 = 17 -25 + 16x = 17 + -1x + -7x + -3x Combine like terms: -1x + -7x = -8x -25 + 16x = 17 + -8x + -3x Combine like terms: -8x + -3x = -11x -25 + 16x = 17 + -11x Solving -25 + 16x = 17 + -11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '11x' to each side of the equation. -25 + 16x + 11x = 17 + -11x + 11x Combine like terms: 16x + 11x = 27x -25 + 27x = 17 + -11x + 11x Combine like terms: -11x + 11x = 0 -25 + 27x = 17 + 0 -25 + 27x = 17 Add '25' to each side of the equation. -25 + 25 + 27x = 17 + 25 Combine like terms: -25 + 25 = 0 0 + 27x = 17 + 25 27x = 17 + 25 Combine like terms: 17 + 25 = 42 27x = 42 Divide each side by '27'. x = 1.555555556 Simplifying x = 1.555555556
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