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Simplifying 12x + -6 + 3x + -10 = 8x + 13 Reorder the terms: -6 + -10 + 12x + 3x = 8x + 13 Combine like terms: -6 + -10 = -16 -16 + 12x + 3x = 8x + 13 Combine like terms: 12x + 3x = 15x -16 + 15x = 8x + 13 Reorder the terms: -16 + 15x = 13 + 8x Solving -16 + 15x = 13 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -16 + 15x + -8x = 13 + 8x + -8x Combine like terms: 15x + -8x = 7x -16 + 7x = 13 + 8x + -8x Combine like terms: 8x + -8x = 0 -16 + 7x = 13 + 0 -16 + 7x = 13 Add '16' to each side of the equation. -16 + 16 + 7x = 13 + 16 Combine like terms: -16 + 16 = 0 0 + 7x = 13 + 16 7x = 13 + 16 Combine like terms: 13 + 16 = 29 7x = 29 Divide each side by '7'. x = 4.142857143 Simplifying x = 4.142857143
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