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Simplifying 7(x + 4) = 32 + -7x Reorder the terms: 7(4 + x) = 32 + -7x (4 * 7 + x * 7) = 32 + -7x (28 + 7x) = 32 + -7x Solving 28 + 7x = 32 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. 28 + 7x + 7x = 32 + -7x + 7x Combine like terms: 7x + 7x = 14x 28 + 14x = 32 + -7x + 7x Combine like terms: -7x + 7x = 0 28 + 14x = 32 + 0 28 + 14x = 32 Add '-28' to each side of the equation. 28 + -28 + 14x = 32 + -28 Combine like terms: 28 + -28 = 0 0 + 14x = 32 + -28 14x = 32 + -28 Combine like terms: 32 + -28 = 4 14x = 4 Divide each side by '14'. x = 0.2857142857 Simplifying x = 0.2857142857
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