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Simplifying 12 + -5x = 3(x + -2) Reorder the terms: 12 + -5x = 3(-2 + x) 12 + -5x = (-2 * 3 + x * 3) 12 + -5x = (-6 + 3x) Solving 12 + -5x = -6 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 12 + -5x + -3x = -6 + 3x + -3x Combine like terms: -5x + -3x = -8x 12 + -8x = -6 + 3x + -3x Combine like terms: 3x + -3x = 0 12 + -8x = -6 + 0 12 + -8x = -6 Add '-12' to each side of the equation. 12 + -12 + -8x = -6 + -12 Combine like terms: 12 + -12 = 0 0 + -8x = -6 + -12 -8x = -6 + -12 Combine like terms: -6 + -12 = -18 -8x = -18 Divide each side by '-8'. x = 2.25 Simplifying x = 2.25
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