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Simplifying 2x + -5 + 8x + 12 = 5x + -3 + -7x + 2 Reorder the terms: -5 + 12 + 2x + 8x = 5x + -3 + -7x + 2 Combine like terms: -5 + 12 = 7 7 + 2x + 8x = 5x + -3 + -7x + 2 Combine like terms: 2x + 8x = 10x 7 + 10x = 5x + -3 + -7x + 2 Reorder the terms: 7 + 10x = -3 + 2 + 5x + -7x Combine like terms: -3 + 2 = -1 7 + 10x = -1 + 5x + -7x Combine like terms: 5x + -7x = -2x 7 + 10x = -1 + -2x Solving 7 + 10x = -1 + -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. 7 + 10x + 2x = -1 + -2x + 2x Combine like terms: 10x + 2x = 12x 7 + 12x = -1 + -2x + 2x Combine like terms: -2x + 2x = 0 7 + 12x = -1 + 0 7 + 12x = -1 Add '-7' to each side of the equation. 7 + -7 + 12x = -1 + -7 Combine like terms: 7 + -7 = 0 0 + 12x = -1 + -7 12x = -1 + -7 Combine like terms: -1 + -7 = -8 12x = -8 Divide each side by '12'. x = -0.6666666667 Simplifying x = -0.6666666667
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