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Simplifying 4(x + 7) = 32 + -10x Reorder the terms: 4(7 + x) = 32 + -10x (7 * 4 + x * 4) = 32 + -10x (28 + 4x) = 32 + -10x Solving 28 + 4x = 32 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. 28 + 4x + 10x = 32 + -10x + 10x Combine like terms: 4x + 10x = 14x 28 + 14x = 32 + -10x + 10x Combine like terms: -10x + 10x = 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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