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Simplifying 4(5x + -1) + -4 = 14x + -2 Reorder the terms: 4(-1 + 5x) + -4 = 14x + -2 (-1 * 4 + 5x * 4) + -4 = 14x + -2 (-4 + 20x) + -4 = 14x + -2 Reorder the terms: -4 + -4 + 20x = 14x + -2 Combine like terms: -4 + -4 = -8 -8 + 20x = 14x + -2 Reorder the terms: -8 + 20x = -2 + 14x Solving -8 + 20x = -2 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. -8 + 20x + -14x = -2 + 14x + -14x Combine like terms: 20x + -14x = 6x -8 + 6x = -2 + 14x + -14x Combine like terms: 14x + -14x = 0 -8 + 6x = -2 + 0 -8 + 6x = -2 Add '8' to each side of the equation. -8 + 8 + 6x = -2 + 8 Combine like terms: -8 + 8 = 0 0 + 6x = -2 + 8 6x = -2 + 8 Combine like terms: -2 + 8 = 6 6x = 6 Divide each side by '6'. x = 1 Simplifying x = 1
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