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Simplifying 2(3 + -3x) = 8 + -4(4 + -2x) (3 * 2 + -3x * 2) = 8 + -4(4 + -2x) (6 + -6x) = 8 + -4(4 + -2x) 6 + -6x = 8 + (4 * -4 + -2x * -4) 6 + -6x = 8 + (-16 + 8x) Combine like terms: 8 + -16 = -8 6 + -6x = -8 + 8x Solving 6 + -6x = -8 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 6 + -6x + -8x = -8 + 8x + -8x Combine like terms: -6x + -8x = -14x 6 + -14x = -8 + 8x + -8x Combine like terms: 8x + -8x = 0 6 + -14x = -8 + 0 6 + -14x = -8 Add '-6' to each side of the equation. 6 + -6 + -14x = -8 + -6 Combine like terms: 6 + -6 = 0 0 + -14x = -8 + -6 -14x = -8 + -6 Combine like terms: -8 + -6 = -14 -14x = -14 Divide each side by '-14'. x = 1 Simplifying x = 1
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