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Simplifying 3(4x + -5) + 2x + 2 = 24 Reorder the terms: 3(-5 + 4x) + 2x + 2 = 24 (-5 * 3 + 4x * 3) + 2x + 2 = 24 (-15 + 12x) + 2x + 2 = 24 Reorder the terms: -15 + 2 + 12x + 2x = 24 Combine like terms: -15 + 2 = -13 -13 + 12x + 2x = 24 Combine like terms: 12x + 2x = 14x -13 + 14x = 24 Solving -13 + 14x = 24 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 + 14x = 24 + 13 Combine like terms: -13 + 13 = 0 0 + 14x = 24 + 13 14x = 24 + 13 Combine like terms: 24 + 13 = 37 14x = 37 Divide each side by '14'. x = 2.642857143 Simplifying x = 2.642857143
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