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Simplifying 5x + -3x + 14 = x + 7 Reorder the terms: 14 + 5x + -3x = x + 7 Combine like terms: 5x + -3x = 2x 14 + 2x = x + 7 Reorder the terms: 14 + 2x = 7 + x Solving 14 + 2x = 7 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 14 + 2x + -1x = 7 + x + -1x Combine like terms: 2x + -1x = 1x 14 + 1x = 7 + x + -1x Combine like terms: x + -1x = 0 14 + 1x = 7 + 0 14 + 1x = 7 Add '-14' to each side of the equation. 14 + -14 + 1x = 7 + -14 Combine like terms: 14 + -14 = 0 0 + 1x = 7 + -14 1x = 7 + -14 Combine like terms: 7 + -14 = -7 1x = -7 Divide each side by '1'. x = -7 Simplifying x = -7
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