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Simplifying 6x + -2 + 2x + -5 = 2x + 4 + 12 + 3x Reorder the terms: -2 + -5 + 6x + 2x = 2x + 4 + 12 + 3x Combine like terms: -2 + -5 = -7 -7 + 6x + 2x = 2x + 4 + 12 + 3x Combine like terms: 6x + 2x = 8x -7 + 8x = 2x + 4 + 12 + 3x Reorder the terms: -7 + 8x = 4 + 12 + 2x + 3x Combine like terms: 4 + 12 = 16 -7 + 8x = 16 + 2x + 3x Combine like terms: 2x + 3x = 5x -7 + 8x = 16 + 5x Solving -7 + 8x = 16 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -7 + 8x + -5x = 16 + 5x + -5x Combine like terms: 8x + -5x = 3x -7 + 3x = 16 + 5x + -5x Combine like terms: 5x + -5x = 0 -7 + 3x = 16 + 0 -7 + 3x = 16 Add '7' to each side of the equation. -7 + 7 + 3x = 16 + 7 Combine like terms: -7 + 7 = 0 0 + 3x = 16 + 7 3x = 16 + 7 Combine like terms: 16 + 7 = 23 3x = 23 Divide each side by '3'. x = 7.666666667 Simplifying x = 7.666666667
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