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Simplifying 5(2x + -3) + -3(x + -2) = 40 Reorder the terms: 5(-3 + 2x) + -3(x + -2) = 40 (-3 * 5 + 2x * 5) + -3(x + -2) = 40 (-15 + 10x) + -3(x + -2) = 40 Reorder the terms: -15 + 10x + -3(-2 + x) = 40 -15 + 10x + (-2 * -3 + x * -3) = 40 -15 + 10x + (6 + -3x) = 40 Reorder the terms: -15 + 6 + 10x + -3x = 40 Combine like terms: -15 + 6 = -9 -9 + 10x + -3x = 40 Combine like terms: 10x + -3x = 7x -9 + 7x = 40 Solving -9 + 7x = 40 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + 7x = 40 + 9 Combine like terms: -9 + 9 = 0 0 + 7x = 40 + 9 7x = 40 + 9 Combine like terms: 40 + 9 = 49 7x = 49 Divide each side by '7'. x = 7 Simplifying x = 7
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