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Simplifying -2(x + 6) = -3(-2x + 8) Reorder the terms: -2(6 + x) = -3(-2x + 8) (6 * -2 + x * -2) = -3(-2x + 8) (-12 + -2x) = -3(-2x + 8) Reorder the terms: -12 + -2x = -3(8 + -2x) -12 + -2x = (8 * -3 + -2x * -3) -12 + -2x = (-24 + 6x) Solving -12 + -2x = -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. -12 + -2x + -6x = -24 + 6x + -6x Combine like terms: -2x + -6x = -8x -12 + -8x = -24 + 6x + -6x Combine like terms: 6x + -6x = 0 -12 + -8x = -24 + 0 -12 + -8x = -24 Add '12' to each side of the equation. -12 + 12 + -8x = -24 + 12 Combine like terms: -12 + 12 = 0 0 + -8x = -24 + 12 -8x = -24 + 12 Combine like terms: -24 + 12 = -12 -8x = -12 Divide each side by '-8'. x = 1.5 Simplifying x = 1.5
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