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Simplifying 5x + 2(x + 7) = 14x + -7 Reorder the terms: 5x + 2(7 + x) = 14x + -7 5x + (7 * 2 + x * 2) = 14x + -7 5x + (14 + 2x) = 14x + -7 Reorder the terms: 14 + 5x + 2x = 14x + -7 Combine like terms: 5x + 2x = 7x 14 + 7x = 14x + -7 Reorder the terms: 14 + 7x = -7 + 14x Solving 14 + 7x = -7 + 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. 14 + 7x + -14x = -7 + 14x + -14x Combine like terms: 7x + -14x = -7x 14 + -7x = -7 + 14x + -14x Combine like terms: 14x + -14x = 0 14 + -7x = -7 + 0 14 + -7x = -7 Add '-14' to each side of the equation. 14 + -14 + -7x = -7 + -14 Combine like terms: 14 + -14 = 0 0 + -7x = -7 + -14 -7x = -7 + -14 Combine like terms: -7 + -14 = -21 -7x = -21 Divide each side by '-7'. x = 3 Simplifying x = 3
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