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Simplifying 3(2x + -5) + (x + -2) = 12 Reorder the terms: 3(-5 + 2x) + (x + -2) = 12 (-5 * 3 + 2x * 3) + (x + -2) = 12 (-15 + 6x) + (x + -2) = 12 Reorder the terms: -15 + 6x + (-2 + x) = 12 Remove parenthesis around (-2 + x) -15 + 6x + -2 + x = 12 Reorder the terms: -15 + -2 + 6x + x = 12 Combine like terms: -15 + -2 = -17 -17 + 6x + x = 12 Combine like terms: 6x + x = 7x -17 + 7x = 12 Solving -17 + 7x = 12 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '17' to each side of the equation. -17 + 17 + 7x = 12 + 17 Combine like terms: -17 + 17 = 0 0 + 7x = 12 + 17 7x = 12 + 17 Combine like terms: 12 + 17 = 29 7x = 29 Divide each side by '7'. x = 4.142857143 Simplifying x = 4.142857143
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