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Simplifying 15x + 6x + 10 = 5x + 8 + -14 Reorder the terms: 10 + 15x + 6x = 5x + 8 + -14 Combine like terms: 15x + 6x = 21x 10 + 21x = 5x + 8 + -14 Reorder the terms: 10 + 21x = 8 + -14 + 5x Combine like terms: 8 + -14 = -6 10 + 21x = -6 + 5x Solving 10 + 21x = -6 + 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. 10 + 21x + -5x = -6 + 5x + -5x Combine like terms: 21x + -5x = 16x 10 + 16x = -6 + 5x + -5x Combine like terms: 5x + -5x = 0 10 + 16x = -6 + 0 10 + 16x = -6 Add '-10' to each side of the equation. 10 + -10 + 16x = -6 + -10 Combine like terms: 10 + -10 = 0 0 + 16x = -6 + -10 16x = -6 + -10 Combine like terms: -6 + -10 = -16 16x = -16 Divide each side by '16'. x = -1 Simplifying x = -1
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