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Simplifying 3(4x + 5) = -6(x + 5) Reorder the terms: 3(5 + 4x) = -6(x + 5) (5 * 3 + 4x * 3) = -6(x + 5) (15 + 12x) = -6(x + 5) Reorder the terms: 15 + 12x = -6(5 + x) 15 + 12x = (5 * -6 + x * -6) 15 + 12x = (-30 + -6x) Solving 15 + 12x = -30 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 15 + 12x + 6x = -30 + -6x + 6x Combine like terms: 12x + 6x = 18x 15 + 18x = -30 + -6x + 6x Combine like terms: -6x + 6x = 0 15 + 18x = -30 + 0 15 + 18x = -30 Add '-15' to each side of the equation. 15 + -15 + 18x = -30 + -15 Combine like terms: 15 + -15 = 0 0 + 18x = -30 + -15 18x = -30 + -15 Combine like terms: -30 + -15 = -45 18x = -45 Divide each side by '18'. x = -2.5 Simplifying x = -2.5
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