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Simplifying 0.75(4 + -8x) = 2x + -0.75(6 + -12x) (4 * 0.75 + -8x * 0.75) = 2x + -0.75(6 + -12x) (3 + -6x) = 2x + -0.75(6 + -12x) 3 + -6x = 2x + (6 * -0.75 + -12x * -0.75) 3 + -6x = 2x + (-4.5 + 9x) Reorder the terms: 3 + -6x = -4.5 + 2x + 9x Combine like terms: 2x + 9x = 11x 3 + -6x = -4.5 + 11x Solving 3 + -6x = -4.5 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. 3 + -6x + -11x = -4.5 + 11x + -11x Combine like terms: -6x + -11x = -17x 3 + -17x = -4.5 + 11x + -11x Combine like terms: 11x + -11x = 0 3 + -17x = -4.5 + 0 3 + -17x = -4.5 Add '-3' to each side of the equation. 3 + -3 + -17x = -4.5 + -3 Combine like terms: 3 + -3 = 0 0 + -17x = -4.5 + -3 -17x = -4.5 + -3 Combine like terms: -4.5 + -3 = -7.5 -17x = -7.5 Divide each side by '-17'. x = 0.4411764706 Simplifying x = 0.4411764706
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