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Simplifying 3(x + -2) = 9 + 5(x + 3) Reorder the terms: 3(-2 + x) = 9 + 5(x + 3) (-2 * 3 + x * 3) = 9 + 5(x + 3) (-6 + 3x) = 9 + 5(x + 3) Reorder the terms: -6 + 3x = 9 + 5(3 + x) -6 + 3x = 9 + (3 * 5 + x * 5) -6 + 3x = 9 + (15 + 5x) Combine like terms: 9 + 15 = 24 -6 + 3x = 24 + 5x Solving -6 + 3x = 24 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -6 + 3x + -5x = 24 + 5x + -5x Combine like terms: 3x + -5x = -2x -6 + -2x = 24 + 5x + -5x Combine like terms: 5x + -5x = 0 -6 + -2x = 24 + 0 -6 + -2x = 24 Add '6' to each side of the equation. -6 + 6 + -2x = 24 + 6 Combine like terms: -6 + 6 = 0 0 + -2x = 24 + 6 -2x = 24 + 6 Combine like terms: 24 + 6 = 30 -2x = 30 Divide each side by '-2'. x = -15 Simplifying x = -15
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