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Simplifying 5(4x + -2) + 9 = 16x + 14 Reorder the terms: 5(-2 + 4x) + 9 = 16x + 14 (-2 * 5 + 4x * 5) + 9 = 16x + 14 (-10 + 20x) + 9 = 16x + 14 Reorder the terms: -10 + 9 + 20x = 16x + 14 Combine like terms: -10 + 9 = -1 -1 + 20x = 16x + 14 Reorder the terms: -1 + 20x = 14 + 16x Solving -1 + 20x = 14 + 16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. -1 + 20x + -16x = 14 + 16x + -16x Combine like terms: 20x + -16x = 4x -1 + 4x = 14 + 16x + -16x Combine like terms: 16x + -16x = 0 -1 + 4x = 14 + 0 -1 + 4x = 14 Add '1' to each side of the equation. -1 + 1 + 4x = 14 + 1 Combine like terms: -1 + 1 = 0 0 + 4x = 14 + 1 4x = 14 + 1 Combine like terms: 14 + 1 = 15 4x = 15 Divide each side by '4'. x = 3.75 Simplifying x = 3.75
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