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Simplifying 15x + -7 = 14x + 12 Reorder the terms: -7 + 15x = 14x + 12 Reorder the terms: -7 + 15x = 12 + 14x Solving -7 + 15x = 12 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. -7 + 15x + -14x = 12 + 14x + -14x Combine like terms: 15x + -14x = 1x -7 + 1x = 12 + 14x + -14x Combine like terms: 14x + -14x = 0 -7 + 1x = 12 + 0 -7 + 1x = 12 Add '7' to each side of the equation. -7 + 7 + 1x = 12 + 7 Combine like terms: -7 + 7 = 0 0 + 1x = 12 + 7 1x = 12 + 7 Combine like terms: 12 + 7 = 19 1x = 19 Divide each side by '1'. x = 19 Simplifying x = 19
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