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Simplifying 5(4x + -6) + -14 = -4x + 16 Reorder the terms: 5(-6 + 4x) + -14 = -4x + 16 (-6 * 5 + 4x * 5) + -14 = -4x + 16 (-30 + 20x) + -14 = -4x + 16 Reorder the terms: -30 + -14 + 20x = -4x + 16 Combine like terms: -30 + -14 = -44 -44 + 20x = -4x + 16 Reorder the terms: -44 + 20x = 16 + -4x Solving -44 + 20x = 16 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -44 + 20x + 4x = 16 + -4x + 4x Combine like terms: 20x + 4x = 24x -44 + 24x = 16 + -4x + 4x Combine like terms: -4x + 4x = 0 -44 + 24x = 16 + 0 -44 + 24x = 16 Add '44' to each side of the equation. -44 + 44 + 24x = 16 + 44 Combine like terms: -44 + 44 = 0 0 + 24x = 16 + 44 24x = 16 + 44 Combine like terms: 16 + 44 = 60 24x = 60 Divide each side by '24'. x = 2.5 Simplifying x = 2.5
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