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Simplifying 10x + 14 = 15x + -6 Reorder the terms: 14 + 10x = 15x + -6 Reorder the terms: 14 + 10x = -6 + 15x Solving 14 + 10x = -6 + 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. 14 + 10x + -15x = -6 + 15x + -15x Combine like terms: 10x + -15x = -5x 14 + -5x = -6 + 15x + -15x Combine like terms: 15x + -15x = 0 14 + -5x = -6 + 0 14 + -5x = -6 Add '-14' to each side of the equation. 14 + -14 + -5x = -6 + -14 Combine like terms: 14 + -14 = 0 0 + -5x = -6 + -14 -5x = -6 + -14 Combine like terms: -6 + -14 = -20 -5x = -20 Divide each side by '-5'. x = 4 Simplifying x = 4
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