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Simplifying 2(3x + -5) + 3(x + -1) = 14 Reorder the terms: 2(-5 + 3x) + 3(x + -1) = 14 (-5 * 2 + 3x * 2) + 3(x + -1) = 14 (-10 + 6x) + 3(x + -1) = 14 Reorder the terms: -10 + 6x + 3(-1 + x) = 14 -10 + 6x + (-1 * 3 + x * 3) = 14 -10 + 6x + (-3 + 3x) = 14 Reorder the terms: -10 + -3 + 6x + 3x = 14 Combine like terms: -10 + -3 = -13 -13 + 6x + 3x = 14 Combine like terms: 6x + 3x = 9x -13 + 9x = 14 Solving -13 + 9x = 14 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13 + 9x = 14 + 13 Combine like terms: -13 + 13 = 0 0 + 9x = 14 + 13 9x = 14 + 13 Combine like terms: 14 + 13 = 27 9x = 27 Divide each side by '9'. x = 3 Simplifying x = 3
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