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Simplifying 5 + -1(2x + 7) = 33 + -7x Reorder the terms: 5 + -1(7 + 2x) = 33 + -7x 5 + (7 * -1 + 2x * -1) = 33 + -7x 5 + (-7 + -2x) = 33 + -7x Combine like terms: 5 + -7 = -2 -2 + -2x = 33 + -7x Solving -2 + -2x = 33 + -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. -2 + -2x + 7x = 33 + -7x + 7x Combine like terms: -2x + 7x = 5x -2 + 5x = 33 + -7x + 7x Combine like terms: -7x + 7x = 0 -2 + 5x = 33 + 0 -2 + 5x = 33 Add '2' to each side of the equation. -2 + 2 + 5x = 33 + 2 Combine like terms: -2 + 2 = 0 0 + 5x = 33 + 2 5x = 33 + 2 Combine like terms: 33 + 2 = 35 5x = 35 Divide each side by '5'. x = 7 Simplifying x = 7
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