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Simplifying 6(2 + -4x) = 5 + -3(2 + -3x) (2 * 6 + -4x * 6) = 5 + -3(2 + -3x) (12 + -24x) = 5 + -3(2 + -3x) 12 + -24x = 5 + (2 * -3 + -3x * -3) 12 + -24x = 5 + (-6 + 9x) Combine like terms: 5 + -6 = -1 12 + -24x = -1 + 9x Solving 12 + -24x = -1 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 12 + -24x + -9x = -1 + 9x + -9x Combine like terms: -24x + -9x = -33x 12 + -33x = -1 + 9x + -9x Combine like terms: 9x + -9x = 0 12 + -33x = -1 + 0 12 + -33x = -1 Add '-12' to each side of the equation. 12 + -12 + -33x = -1 + -12 Combine like terms: 12 + -12 = 0 0 + -33x = -1 + -12 -33x = -1 + -12 Combine like terms: -1 + -12 = -13 -33x = -13 Divide each side by '-33'. x = 0.3939393939 Simplifying x = 0.3939393939
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