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Simplifying 4x + 14 = 5(x + 1) Reorder the terms: 14 + 4x = 5(x + 1) Reorder the terms: 14 + 4x = 5(1 + x) 14 + 4x = (1 * 5 + x * 5) 14 + 4x = (5 + 5x) Solving 14 + 4x = 5 + 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 + 4x + -5x = 5 + 5x + -5x Combine like terms: 4x + -5x = -1x 14 + -1x = 5 + 5x + -5x Combine like terms: 5x + -5x = 0 14 + -1x = 5 + 0 14 + -1x = 5 Add '-14' to each side of the equation. 14 + -14 + -1x = 5 + -14 Combine like terms: 14 + -14 = 0 0 + -1x = 5 + -14 -1x = 5 + -14 Combine like terms: 5 + -14 = -9 -1x = -9 Divide each side by '-1'. x = 9 Simplifying x = 9
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