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