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Simplifying 4(3 + -2x) = 9 + -1(5 + 4x) (3 * 4 + -2x * 4) = 9 + -1(5 + 4x) (12 + -8x) = 9 + -1(5 + 4x) 12 + -8x = 9 + (5 * -1 + 4x * -1) 12 + -8x = 9 + (-5 + -4x) Combine like terms: 9 + -5 = 4 12 + -8x = 4 + -4x Solving 12 + -8x = 4 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 12 + -8x + 4x = 4 + -4x + 4x Combine like terms: -8x + 4x = -4x 12 + -4x = 4 + -4x + 4x Combine like terms: -4x + 4x = 0 12 + -4x = 4 + 0 12 + -4x = 4 Add '-12' to each side of the equation. 12 + -12 + -4x = 4 + -12 Combine like terms: 12 + -12 = 0 0 + -4x = 4 + -12 -4x = 4 + -12 Combine like terms: 4 + -12 = -8 -4x = -8 Divide each side by '-4'. x = 2 Simplifying x = 2
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