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Simplifying 5(2x + -3) + -1(4 + 3x) = 2 Reorder the terms: 5(-3 + 2x) + -1(4 + 3x) = 2 (-3 * 5 + 2x * 5) + -1(4 + 3x) = 2 (-15 + 10x) + -1(4 + 3x) = 2 -15 + 10x + (4 * -1 + 3x * -1) = 2 -15 + 10x + (-4 + -3x) = 2 Reorder the terms: -15 + -4 + 10x + -3x = 2 Combine like terms: -15 + -4 = -19 -19 + 10x + -3x = 2 Combine like terms: 10x + -3x = 7x -19 + 7x = 2 Solving -19 + 7x = 2 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '19' to each side of the equation. -19 + 19 + 7x = 2 + 19 Combine like terms: -19 + 19 = 0 0 + 7x = 2 + 19 7x = 2 + 19 Combine like terms: 2 + 19 = 21 7x = 21 Divide each side by '7'. x = 3 Simplifying x = 3
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