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Simplifying 3(x + 4) = -5(x + 6) Reorder the terms: 3(4 + x) = -5(x + 6) (4 * 3 + x * 3) = -5(x + 6) (12 + 3x) = -5(x + 6) Reorder the terms: 12 + 3x = -5(6 + x) 12 + 3x = (6 * -5 + x * -5) 12 + 3x = (-30 + -5x) Solving 12 + 3x = -30 + -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 = -30 + -5x + 5x Combine like terms: 3x + 5x = 8x 12 + 8x = -30 + -5x + 5x Combine like terms: -5x + 5x = 0 12 + 8x = -30 + 0 12 + 8x = -30 Add '-12' to each side of the equation. 12 + -12 + 8x = -30 + -12 Combine like terms: 12 + -12 = 0 0 + 8x = -30 + -12 8x = -30 + -12 Combine like terms: -30 + -12 = -42 8x = -42 Divide each side by '8'. x = -5.25 Simplifying x = -5.25
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