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Simplifying 4(7x + -7) = 7(6 + 2x) Reorder the terms: 4(-7 + 7x) = 7(6 + 2x) (-7 * 4 + 7x * 4) = 7(6 + 2x) (-28 + 28x) = 7(6 + 2x) -28 + 28x = (6 * 7 + 2x * 7) -28 + 28x = (42 + 14x) Solving -28 + 28x = 42 + 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 + 28x + -14x = 42 + 14x + -14x Combine like terms: 28x + -14x = 14x -28 + 14x = 42 + 14x + -14x Combine like terms: 14x + -14x = 0 -28 + 14x = 42 + 0 -28 + 14x = 42 Add '28' to each side of the equation. -28 + 28 + 14x = 42 + 28 Combine like terms: -28 + 28 = 0 0 + 14x = 42 + 28 14x = 42 + 28 Combine like terms: 42 + 28 = 70 14x = 70 Divide each side by '14'. x = 5 Simplifying x = 5
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