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Simplifying 3(3x + -1) + 5(x + 2) = 10 Reorder the terms: 3(-1 + 3x) + 5(x + 2) = 10 (-1 * 3 + 3x * 3) + 5(x + 2) = 10 (-3 + 9x) + 5(x + 2) = 10 Reorder the terms: -3 + 9x + 5(2 + x) = 10 -3 + 9x + (2 * 5 + x * 5) = 10 -3 + 9x + (10 + 5x) = 10 Reorder the terms: -3 + 10 + 9x + 5x = 10 Combine like terms: -3 + 10 = 7 7 + 9x + 5x = 10 Combine like terms: 9x + 5x = 14x 7 + 14x = 10 Solving 7 + 14x = 10 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 14x = 10 + -7 Combine like terms: 7 + -7 = 0 0 + 14x = 10 + -7 14x = 10 + -7 Combine like terms: 10 + -7 = 3 14x = 3 Divide each side by '14'. x = 0.2142857143 Simplifying x = 0.2142857143
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