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Simplifying 3(x + -2) + -2(3x + -5) = 10 Reorder the terms: 3(-2 + x) + -2(3x + -5) = 10 (-2 * 3 + x * 3) + -2(3x + -5) = 10 (-6 + 3x) + -2(3x + -5) = 10 Reorder the terms: -6 + 3x + -2(-5 + 3x) = 10 -6 + 3x + (-5 * -2 + 3x * -2) = 10 -6 + 3x + (10 + -6x) = 10 Reorder the terms: -6 + 10 + 3x + -6x = 10 Combine like terms: -6 + 10 = 4 4 + 3x + -6x = 10 Combine like terms: 3x + -6x = -3x 4 + -3x = 10 Solving 4 + -3x = 10 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -3x = 10 + -4 Combine like terms: 4 + -4 = 0 0 + -3x = 10 + -4 -3x = 10 + -4 Combine like terms: 10 + -4 = 6 -3x = 6 Divide each side by '-3'. x = -2 Simplifying x = -2
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