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Simplifying 7(x + 4) = 14(x + 4) Reorder the terms: 7(4 + x) = 14(x + 4) (4 * 7 + x * 7) = 14(x + 4) (28 + 7x) = 14(x + 4) Reorder the terms: 28 + 7x = 14(4 + x) 28 + 7x = (4 * 14 + x * 14) 28 + 7x = (56 + 14x) Solving 28 + 7x = 56 + 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. 28 + 7x + -14x = 56 + 14x + -14x Combine like terms: 7x + -14x = -7x 28 + -7x = 56 + 14x + -14x Combine like terms: 14x + -14x = 0 28 + -7x = 56 + 0 28 + -7x = 56 Add '-28' to each side of the equation. 28 + -28 + -7x = 56 + -28 Combine like terms: 28 + -28 = 0 0 + -7x = 56 + -28 -7x = 56 + -28 Combine like terms: 56 + -28 = 28 -7x = 28 Divide each side by '-7'. x = -4 Simplifying x = -4
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