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Simplifying 4(5x + -2) = -2x + 14 Reorder the terms: 4(-2 + 5x) = -2x + 14 (-2 * 4 + 5x * 4) = -2x + 14 (-8 + 20x) = -2x + 14 Reorder the terms: -8 + 20x = 14 + -2x Solving -8 + 20x = 14 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -8 + 20x + 2x = 14 + -2x + 2x Combine like terms: 20x + 2x = 22x -8 + 22x = 14 + -2x + 2x Combine like terms: -2x + 2x = 0 -8 + 22x = 14 + 0 -8 + 22x = 14 Add '8' to each side of the equation. -8 + 8 + 22x = 14 + 8 Combine like terms: -8 + 8 = 0 0 + 22x = 14 + 8 22x = 14 + 8 Combine like terms: 14 + 8 = 22 22x = 22 Divide each side by '22'. x = 1 Simplifying x = 1
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