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Simplifying 1 + 4x + 6x + 14 = 7x + 8x Reorder the terms: 1 + 14 + 4x + 6x = 7x + 8x Combine like terms: 1 + 14 = 15 15 + 4x + 6x = 7x + 8x Combine like terms: 4x + 6x = 10x 15 + 10x = 7x + 8x Combine like terms: 7x + 8x = 15x 15 + 10x = 15x Solving 15 + 10x = 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 15 + 10x + -15x = 15x + -15x Combine like terms: 10x + -15x = -5x 15 + -5x = 15x + -15x Combine like terms: 15x + -15x = 0 15 + -5x = 0 Add '-15' to each side of the equation. 15 + -15 + -5x = 0 + -15 Combine like terms: 15 + -15 = 0 0 + -5x = 0 + -15 -5x = 0 + -15 Combine like terms: 0 + -15 = -15 -5x = -15 Divide each side by '-5'. x = 3 Simplifying x = 3
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