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Simplifying 14x + -7 = 5(4 + x) Reorder the terms: -7 + 14x = 5(4 + x) -7 + 14x = (4 * 5 + x * 5) -7 + 14x = (20 + 5x) Solving -7 + 14x = 20 + 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. -7 + 14x + -5x = 20 + 5x + -5x Combine like terms: 14x + -5x = 9x -7 + 9x = 20 + 5x + -5x Combine like terms: 5x + -5x = 0 -7 + 9x = 20 + 0 -7 + 9x = 20 Add '7' to each side of the equation. -7 + 7 + 9x = 20 + 7 Combine like terms: -7 + 7 = 0 0 + 9x = 20 + 7 9x = 20 + 7 Combine like terms: 20 + 7 = 27 9x = 27 Divide each side by '9'. x = 3 Simplifying x = 3
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