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Simplifying -4(3x + 7) = -3(2x + 8) Reorder the terms: -4(7 + 3x) = -3(2x + 8) (7 * -4 + 3x * -4) = -3(2x + 8) (-28 + -12x) = -3(2x + 8) Reorder the terms: -28 + -12x = -3(8 + 2x) -28 + -12x = (8 * -3 + 2x * -3) -28 + -12x = (-24 + -6x) Solving -28 + -12x = -24 + -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. -28 + -12x + 6x = -24 + -6x + 6x Combine like terms: -12x + 6x = -6x -28 + -6x = -24 + -6x + 6x Combine like terms: -6x + 6x = 0 -28 + -6x = -24 + 0 -28 + -6x = -24 Add '28' to each side of the equation. -28 + 28 + -6x = -24 + 28 Combine like terms: -28 + 28 = 0 0 + -6x = -24 + 28 -6x = -24 + 28 Combine like terms: -24 + 28 = 4 -6x = 4 Divide each side by '-6'. x = -0.6666666667 Simplifying x = -0.6666666667
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