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Simplifying 7(5x + -2) = 7(4x + 6) Reorder the terms: 7(-2 + 5x) = 7(4x + 6) (-2 * 7 + 5x * 7) = 7(4x + 6) (-14 + 35x) = 7(4x + 6) Reorder the terms: -14 + 35x = 7(6 + 4x) -14 + 35x = (6 * 7 + 4x * 7) -14 + 35x = (42 + 28x) Solving -14 + 35x = 42 + 28x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-28x' to each side of the equation. -14 + 35x + -28x = 42 + 28x + -28x Combine like terms: 35x + -28x = 7x -14 + 7x = 42 + 28x + -28x Combine like terms: 28x + -28x = 0 -14 + 7x = 42 + 0 -14 + 7x = 42 Add '14' to each side of the equation. -14 + 14 + 7x = 42 + 14 Combine like terms: -14 + 14 = 0 0 + 7x = 42 + 14 7x = 42 + 14 Combine like terms: 42 + 14 = 56 7x = 56 Divide each side by '7'. x = 8 Simplifying x = 8
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