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Simplifying 3(x + -23) + 2(x + -2) = 17 Reorder the terms: 3(-23 + x) + 2(x + -2) = 17 (-23 * 3 + x * 3) + 2(x + -2) = 17 (-69 + 3x) + 2(x + -2) = 17 Reorder the terms: -69 + 3x + 2(-2 + x) = 17 -69 + 3x + (-2 * 2 + x * 2) = 17 -69 + 3x + (-4 + 2x) = 17 Reorder the terms: -69 + -4 + 3x + 2x = 17 Combine like terms: -69 + -4 = -73 -73 + 3x + 2x = 17 Combine like terms: 3x + 2x = 5x -73 + 5x = 17 Solving -73 + 5x = 17 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '73' to each side of the equation. -73 + 73 + 5x = 17 + 73 Combine like terms: -73 + 73 = 0 0 + 5x = 17 + 73 5x = 17 + 73 Combine like terms: 17 + 73 = 90 5x = 90 Divide each side by '5'. x = 18 Simplifying x = 18
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