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Simplifying 3(4 + -2x) = 1x + 5(1x + -2) (4 * 3 + -2x * 3) = 1x + 5(1x + -2) (12 + -6x) = 1x + 5(1x + -2) Reorder the terms: 12 + -6x = 1x + 5(-2 + 1x) 12 + -6x = 1x + (-2 * 5 + 1x * 5) 12 + -6x = 1x + (-10 + 5x) Reorder the terms: 12 + -6x = -10 + 1x + 5x Combine like terms: 1x + 5x = 6x 12 + -6x = -10 + 6x Solving 12 + -6x = -10 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 12 + -6x + -6x = -10 + 6x + -6x Combine like terms: -6x + -6x = -12x 12 + -12x = -10 + 6x + -6x Combine like terms: 6x + -6x = 0 12 + -12x = -10 + 0 12 + -12x = -10 Add '-12' to each side of the equation. 12 + -12 + -12x = -10 + -12 Combine like terms: 12 + -12 = 0 0 + -12x = -10 + -12 -12x = -10 + -12 Combine like terms: -10 + -12 = -22 -12x = -22 Divide each side by '-12'. x = 1.833333333 Simplifying x = 1.833333333
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