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Simplifying 2(x + 3) = -3(2x + 5) Reorder the terms: 2(3 + x) = -3(2x + 5) (3 * 2 + x * 2) = -3(2x + 5) (6 + 2x) = -3(2x + 5) Reorder the terms: 6 + 2x = -3(5 + 2x) 6 + 2x = (5 * -3 + 2x * -3) 6 + 2x = (-15 + -6x) Solving 6 + 2x = -15 + -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. 6 + 2x + 6x = -15 + -6x + 6x Combine like terms: 2x + 6x = 8x 6 + 8x = -15 + -6x + 6x Combine like terms: -6x + 6x = 0 6 + 8x = -15 + 0 6 + 8x = -15 Add '-6' to each side of the equation. 6 + -6 + 8x = -15 + -6 Combine like terms: 6 + -6 = 0 0 + 8x = -15 + -6 8x = -15 + -6 Combine like terms: -15 + -6 = -21 8x = -21 Divide each side by '8'. x = -2.625 Simplifying x = -2.625
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