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Simplifying 15x + 6 + -5x + 14 = 5x + 6 + 1x + 2 Reorder the terms: 6 + 14 + 15x + -5x = 5x + 6 + 1x + 2 Combine like terms: 6 + 14 = 20 20 + 15x + -5x = 5x + 6 + 1x + 2 Combine like terms: 15x + -5x = 10x 20 + 10x = 5x + 6 + 1x + 2 Reorder the terms: 20 + 10x = 6 + 2 + 5x + 1x Combine like terms: 6 + 2 = 8 20 + 10x = 8 + 5x + 1x Combine like terms: 5x + 1x = 6x 20 + 10x = 8 + 6x Solving 20 + 10x = 8 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 20 + 10x + -6x = 8 + 6x + -6x Combine like terms: 10x + -6x = 4x 20 + 4x = 8 + 6x + -6x Combine like terms: 6x + -6x = 0 20 + 4x = 8 + 0 20 + 4x = 8 Add '-20' to each side of the equation. 20 + -20 + 4x = 8 + -20 Combine like terms: 20 + -20 = 0 0 + 4x = 8 + -20 4x = 8 + -20 Combine like terms: 8 + -20 = -12 4x = -12 Divide each side by '4'. x = -3 Simplifying x = -3
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