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Simplifying -2(3x + 12) = 2x + 15 Reorder the terms: -2(12 + 3x) = 2x + 15 (12 * -2 + 3x * -2) = 2x + 15 (-24 + -6x) = 2x + 15 Reorder the terms: -24 + -6x = 15 + 2x Solving -24 + -6x = 15 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -24 + -6x + -2x = 15 + 2x + -2x Combine like terms: -6x + -2x = -8x -24 + -8x = 15 + 2x + -2x Combine like terms: 2x + -2x = 0 -24 + -8x = 15 + 0 -24 + -8x = 15 Add '24' to each side of the equation. -24 + 24 + -8x = 15 + 24 Combine like terms: -24 + 24 = 0 0 + -8x = 15 + 24 -8x = 15 + 24 Combine like terms: 15 + 24 = 39 -8x = 39 Divide each side by '-8'. x = -4.875 Simplifying x = -4.875
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