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Simplifying 6(2x + 4) = -3(x + 5) Reorder the terms: 6(4 + 2x) = -3(x + 5) (4 * 6 + 2x * 6) = -3(x + 5) (24 + 12x) = -3(x + 5) Reorder the terms: 24 + 12x = -3(5 + x) 24 + 12x = (5 * -3 + x * -3) 24 + 12x = (-15 + -3x) Solving 24 + 12x = -15 + -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. 24 + 12x + 3x = -15 + -3x + 3x Combine like terms: 12x + 3x = 15x 24 + 15x = -15 + -3x + 3x Combine like terms: -3x + 3x = 0 24 + 15x = -15 + 0 24 + 15x = -15 Add '-24' to each side of the equation. 24 + -24 + 15x = -15 + -24 Combine like terms: 24 + -24 = 0 0 + 15x = -15 + -24 15x = -15 + -24 Combine like terms: -15 + -24 = -39 15x = -39 Divide each side by '15'. x = -2.6 Simplifying x = -2.6
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