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Simplifying -3(x + 2) = -8(3x + -8) Reorder the terms: -3(2 + x) = -8(3x + -8) (2 * -3 + x * -3) = -8(3x + -8) (-6 + -3x) = -8(3x + -8) Reorder the terms: -6 + -3x = -8(-8 + 3x) -6 + -3x = (-8 * -8 + 3x * -8) -6 + -3x = (64 + -24x) Solving -6 + -3x = 64 + -24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '24x' to each side of the equation. -6 + -3x + 24x = 64 + -24x + 24x Combine like terms: -3x + 24x = 21x -6 + 21x = 64 + -24x + 24x Combine like terms: -24x + 24x = 0 -6 + 21x = 64 + 0 -6 + 21x = 64 Add '6' to each side of the equation. -6 + 6 + 21x = 64 + 6 Combine like terms: -6 + 6 = 0 0 + 21x = 64 + 6 21x = 64 + 6 Combine like terms: 64 + 6 = 70 21x = 70 Divide each side by '21'. x = 3.333333333 Simplifying x = 3.333333333
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