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Simplifying 3(4x + -5) + 2(x + 1) = 15 Reorder the terms: 3(-5 + 4x) + 2(x + 1) = 15 (-5 * 3 + 4x * 3) + 2(x + 1) = 15 (-15 + 12x) + 2(x + 1) = 15 Reorder the terms: -15 + 12x + 2(1 + x) = 15 -15 + 12x + (1 * 2 + x * 2) = 15 -15 + 12x + (2 + 2x) = 15 Reorder the terms: -15 + 2 + 12x + 2x = 15 Combine like terms: -15 + 2 = -13 -13 + 12x + 2x = 15 Combine like terms: 12x + 2x = 14x -13 + 14x = 15 Solving -13 + 14x = 15 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 = 15 + 13 Combine like terms: -13 + 13 = 0 0 + 14x = 15 + 13 14x = 15 + 13 Combine like terms: 15 + 13 = 28 14x = 28 Divide each side by '14'. x = 2 Simplifying x = 2
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