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Simplifying 5x + -1 + 1x + 15 = 6 + 5x + 14 + -21 Reorder the terms: -1 + 15 + 5x + 1x = 6 + 5x + 14 + -21 Combine like terms: -1 + 15 = 14 14 + 5x + 1x = 6 + 5x + 14 + -21 Combine like terms: 5x + 1x = 6x 14 + 6x = 6 + 5x + 14 + -21 Reorder the terms: 14 + 6x = 6 + 14 + -21 + 5x Combine like terms: 6 + 14 = 20 14 + 6x = 20 + -21 + 5x Combine like terms: 20 + -21 = -1 14 + 6x = -1 + 5x Solving 14 + 6x = -1 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 14 + 6x + -5x = -1 + 5x + -5x Combine like terms: 6x + -5x = 1x 14 + 1x = -1 + 5x + -5x Combine like terms: 5x + -5x = 0 14 + 1x = -1 + 0 14 + 1x = -1 Add '-14' to each side of the equation. 14 + -14 + 1x = -1 + -14 Combine like terms: 14 + -14 = 0 0 + 1x = -1 + -14 1x = -1 + -14 Combine like terms: -1 + -14 = -15 1x = -15 Divide each side by '1'. x = -15 Simplifying x = -15
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