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Simplifying 12x + 5 + -8x = 10 + x + -15 Reorder the terms: 5 + 12x + -8x = 10 + x + -15 Combine like terms: 12x + -8x = 4x 5 + 4x = 10 + x + -15 Reorder the terms: 5 + 4x = 10 + -15 + x Combine like terms: 10 + -15 = -5 5 + 4x = -5 + x Solving 5 + 4x = -5 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 5 + 4x + -1x = -5 + x + -1x Combine like terms: 4x + -1x = 3x 5 + 3x = -5 + x + -1x Combine like terms: x + -1x = 0 5 + 3x = -5 + 0 5 + 3x = -5 Add '-5' to each side of the equation. 5 + -5 + 3x = -5 + -5 Combine like terms: 5 + -5 = 0 0 + 3x = -5 + -5 3x = -5 + -5 Combine like terms: -5 + -5 = -10 3x = -10 Divide each side by '3'. x = -3.333333333 Simplifying x = -3.333333333
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