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Simplifying -3(1 + -2x) = -9 + 7x (1 * -3 + -2x * -3) = -9 + 7x (-3 + 6x) = -9 + 7x Solving -3 + 6x = -9 + 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. -3 + 6x + -7x = -9 + 7x + -7x Combine like terms: 6x + -7x = -1x -3 + -1x = -9 + 7x + -7x Combine like terms: 7x + -7x = 0 -3 + -1x = -9 + 0 -3 + -1x = -9 Add '3' to each side of the equation. -3 + 3 + -1x = -9 + 3 Combine like terms: -3 + 3 = 0 0 + -1x = -9 + 3 -1x = -9 + 3 Combine like terms: -9 + 3 = -6 -1x = -6 Divide each side by '-1'. x = 6 Simplifying x = 6
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