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