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Simplifying 4x + 6 + -1(7 + -1x) = 49 4x + 6 + (7 * -1 + -1x * -1) = 49 4x + 6 + (-7 + 1x) = 49 Reorder the terms: 6 + -7 + 4x + 1x = 49 Combine like terms: 6 + -7 = -1 -1 + 4x + 1x = 49 Combine like terms: 4x + 1x = 5x -1 + 5x = 49 Solving -1 + 5x = 49 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 5x = 49 + 1 Combine like terms: -1 + 1 = 0 0 + 5x = 49 + 1 5x = 49 + 1 Combine like terms: 49 + 1 = 50 5x = 50 Divide each side by '5'. x = 10 Simplifying x = 10
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