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Simplifying -4(2x + -3) = -4 + 6(x + -4) Reorder the terms: -4(-3 + 2x) = -4 + 6(x + -4) (-3 * -4 + 2x * -4) = -4 + 6(x + -4) (12 + -8x) = -4 + 6(x + -4) Reorder the terms: 12 + -8x = -4 + 6(-4 + x) 12 + -8x = -4 + (-4 * 6 + x * 6) 12 + -8x = -4 + (-24 + 6x) Combine like terms: -4 + -24 = -28 12 + -8x = -28 + 6x Solving 12 + -8x = -28 + 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 + -8x + -6x = -28 + 6x + -6x Combine like terms: -8x + -6x = -14x 12 + -14x = -28 + 6x + -6x Combine like terms: 6x + -6x = 0 12 + -14x = -28 + 0 12 + -14x = -28 Add '-12' to each side of the equation. 12 + -12 + -14x = -28 + -12 Combine like terms: 12 + -12 = 0 0 + -14x = -28 + -12 -14x = -28 + -12 Combine like terms: -28 + -12 = -40 -14x = -40 Divide each side by '-14'. x = 2.857142857 Simplifying x = 2.857142857
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