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Simplifying -5(4x + 3) + 3(1 + 2x) = 12 Reorder the terms: -5(3 + 4x) + 3(1 + 2x) = 12 (3 * -5 + 4x * -5) + 3(1 + 2x) = 12 (-15 + -20x) + 3(1 + 2x) = 12 -15 + -20x + (1 * 3 + 2x * 3) = 12 -15 + -20x + (3 + 6x) = 12 Reorder the terms: -15 + 3 + -20x + 6x = 12 Combine like terms: -15 + 3 = -12 -12 + -20x + 6x = 12 Combine like terms: -20x + 6x = -14x -12 + -14x = 12 Solving -12 + -14x = 12 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + -14x = 12 + 12 Combine like terms: -12 + 12 = 0 0 + -14x = 12 + 12 -14x = 12 + 12 Combine like terms: 12 + 12 = 24 -14x = 24 Divide each side by '-14'. x = -1.714285714 Simplifying x = -1.714285714
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