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Simplifying 2(2x + 3) = -3(x + 5) Reorder the terms: 2(3 + 2x) = -3(x + 5) (3 * 2 + 2x * 2) = -3(x + 5) (6 + 4x) = -3(x + 5) Reorder the terms: 6 + 4x = -3(5 + x) 6 + 4x = (5 * -3 + x * -3) 6 + 4x = (-15 + -3x) Solving 6 + 4x = -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. 6 + 4x + 3x = -15 + -3x + 3x Combine like terms: 4x + 3x = 7x 6 + 7x = -15 + -3x + 3x Combine like terms: -3x + 3x = 0 6 + 7x = -15 + 0 6 + 7x = -15 Add '-6' to each side of the equation. 6 + -6 + 7x = -15 + -6 Combine like terms: 6 + -6 = 0 0 + 7x = -15 + -6 7x = -15 + -6 Combine like terms: -15 + -6 = -21 7x = -21 Divide each side by '7'. x = -3 Simplifying x = -3
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