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Simplifying 3(x + -2) + 2(x + -3) = 40 Reorder the terms: 3(-2 + x) + 2(x + -3) = 40 (-2 * 3 + x * 3) + 2(x + -3) = 40 (-6 + 3x) + 2(x + -3) = 40 Reorder the terms: -6 + 3x + 2(-3 + x) = 40 -6 + 3x + (-3 * 2 + x * 2) = 40 -6 + 3x + (-6 + 2x) = 40 Reorder the terms: -6 + -6 + 3x + 2x = 40 Combine like terms: -6 + -6 = -12 -12 + 3x + 2x = 40 Combine like terms: 3x + 2x = 5x -12 + 5x = 40 Solving -12 + 5x = 40 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + 5x = 40 + 12 Combine like terms: -12 + 12 = 0 0 + 5x = 40 + 12 5x = 40 + 12 Combine like terms: 40 + 12 = 52 5x = 52 Divide each side by '5'. x = 10.4 Simplifying x = 10.4
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