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Simplifying -33 + 6x = 7(1 + -2x) -33 + 6x = (1 * 7 + -2x * 7) -33 + 6x = (7 + -14x) Solving -33 + 6x = 7 + -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. -33 + 6x + 14x = 7 + -14x + 14x Combine like terms: 6x + 14x = 20x -33 + 20x = 7 + -14x + 14x Combine like terms: -14x + 14x = 0 -33 + 20x = 7 + 0 -33 + 20x = 7 Add '33' to each side of the equation. -33 + 33 + 20x = 7 + 33 Combine like terms: -33 + 33 = 0 0 + 20x = 7 + 33 20x = 7 + 33 Combine like terms: 7 + 33 = 40 20x = 40 Divide each side by '20'. x = 2 Simplifying x = 2
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