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Simplifying 3x + 2(x + -3) = 10 + 2(x + -5) Reorder the terms: 3x + 2(-3 + x) = 10 + 2(x + -5) 3x + (-3 * 2 + x * 2) = 10 + 2(x + -5) 3x + (-6 + 2x) = 10 + 2(x + -5) Reorder the terms: -6 + 3x + 2x = 10 + 2(x + -5) Combine like terms: 3x + 2x = 5x -6 + 5x = 10 + 2(x + -5) Reorder the terms: -6 + 5x = 10 + 2(-5 + x) -6 + 5x = 10 + (-5 * 2 + x * 2) -6 + 5x = 10 + (-10 + 2x) Combine like terms: 10 + -10 = 0 -6 + 5x = 0 + 2x -6 + 5x = 2x Solving -6 + 5x = 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 + 5x + -2x = 2x + -2x Combine like terms: 5x + -2x = 3x -6 + 3x = 2x + -2x Combine like terms: 2x + -2x = 0 -6 + 3x = 0 Add '6' to each side of the equation. -6 + 6 + 3x = 0 + 6 Combine like terms: -6 + 6 = 0 0 + 3x = 0 + 6 3x = 0 + 6 Combine like terms: 0 + 6 = 6 3x = 6 Divide each side by '3'. x = 2 Simplifying x = 2
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