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Simplifying 5x + 13 + 48 = 14x + -2 Reorder the terms: 13 + 48 + 5x = 14x + -2 Combine like terms: 13 + 48 = 61 61 + 5x = 14x + -2 Reorder the terms: 61 + 5x = -2 + 14x Solving 61 + 5x = -2 + 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. 61 + 5x + -14x = -2 + 14x + -14x Combine like terms: 5x + -14x = -9x 61 + -9x = -2 + 14x + -14x Combine like terms: 14x + -14x = 0 61 + -9x = -2 + 0 61 + -9x = -2 Add '-61' to each side of the equation. 61 + -61 + -9x = -2 + -61 Combine like terms: 61 + -61 = 0 0 + -9x = -2 + -61 -9x = -2 + -61 Combine like terms: -2 + -61 = -63 -9x = -63 Divide each side by '-9'. x = 7 Simplifying x = 7
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