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Simplifying 3(x + -2) = 8 + -2(x + -3) + -5 Reorder the terms: 3(-2 + x) = 8 + -2(x + -3) + -5 (-2 * 3 + x * 3) = 8 + -2(x + -3) + -5 (-6 + 3x) = 8 + -2(x + -3) + -5 Reorder the terms: -6 + 3x = 8 + -2(-3 + x) + -5 -6 + 3x = 8 + (-3 * -2 + x * -2) + -5 -6 + 3x = 8 + (6 + -2x) + -5 Reorder the terms: -6 + 3x = 8 + 6 + -5 + -2x Combine like terms: 8 + 6 = 14 -6 + 3x = 14 + -5 + -2x Combine like terms: 14 + -5 = 9 -6 + 3x = 9 + -2x Solving -6 + 3x = 9 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -6 + 3x + 2x = 9 + -2x + 2x Combine like terms: 3x + 2x = 5x -6 + 5x = 9 + -2x + 2x Combine like terms: -2x + 2x = 0 -6 + 5x = 9 + 0 -6 + 5x = 9 Add '6' to each side of the equation. -6 + 6 + 5x = 9 + 6 Combine like terms: -6 + 6 = 0 0 + 5x = 9 + 6 5x = 9 + 6 Combine like terms: 9 + 6 = 15 5x = 15 Divide each side by '5'. x = 3 Simplifying x = 3
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