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Simplifying 5(2x + -3) + 2(x + -4) = 17 Reorder the terms: 5(-3 + 2x) + 2(x + -4) = 17 (-3 * 5 + 2x * 5) + 2(x + -4) = 17 (-15 + 10x) + 2(x + -4) = 17 Reorder the terms: -15 + 10x + 2(-4 + x) = 17 -15 + 10x + (-4 * 2 + x * 2) = 17 -15 + 10x + (-8 + 2x) = 17 Reorder the terms: -15 + -8 + 10x + 2x = 17 Combine like terms: -15 + -8 = -23 -23 + 10x + 2x = 17 Combine like terms: 10x + 2x = 12x -23 + 12x = 17 Solving -23 + 12x = 17 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '23' to each side of the equation. -23 + 23 + 12x = 17 + 23 Combine like terms: -23 + 23 = 0 0 + 12x = 17 + 23 12x = 17 + 23 Combine like terms: 17 + 23 = 40 12x = 40 Divide each side by '12'. x = 3.333333333 Simplifying x = 3.333333333
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