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Simplifying 3x + 12 = -5(x + 3) Reorder the terms: 12 + 3x = -5(x + 3) Reorder the terms: 12 + 3x = -5(3 + x) 12 + 3x = (3 * -5 + x * -5) 12 + 3x = (-15 + -5x) Solving 12 + 3x = -15 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 12 + 3x + 5x = -15 + -5x + 5x Combine like terms: 3x + 5x = 8x 12 + 8x = -15 + -5x + 5x Combine like terms: -5x + 5x = 0 12 + 8x = -15 + 0 12 + 8x = -15 Add '-12' to each side of the equation. 12 + -12 + 8x = -15 + -12 Combine like terms: 12 + -12 = 0 0 + 8x = -15 + -12 8x = -15 + -12 Combine like terms: -15 + -12 = -27 8x = -27 Divide each side by '8'. x = -3.375 Simplifying x = -3.375
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