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Simplifying 4(1 + -2x) + -6(x + -3) = -8 (1 * 4 + -2x * 4) + -6(x + -3) = -8 (4 + -8x) + -6(x + -3) = -8 Reorder the terms: 4 + -8x + -6(-3 + x) = -8 4 + -8x + (-3 * -6 + x * -6) = -8 4 + -8x + (18 + -6x) = -8 Reorder the terms: 4 + 18 + -8x + -6x = -8 Combine like terms: 4 + 18 = 22 22 + -8x + -6x = -8 Combine like terms: -8x + -6x = -14x 22 + -14x = -8 Solving 22 + -14x = -8 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-22' to each side of the equation. 22 + -22 + -14x = -8 + -22 Combine like terms: 22 + -22 = 0 0 + -14x = -8 + -22 -14x = -8 + -22 Combine like terms: -8 + -22 = -30 -14x = -30 Divide each side by '-14'. x = 2.142857143 Simplifying x = 2.142857143
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