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Simplifying 10x + -1(20 + -4x) = 20 + 6x 10x + (20 * -1 + -4x * -1) = 20 + 6x 10x + (-20 + 4x) = 20 + 6x Reorder the terms: -20 + 10x + 4x = 20 + 6x Combine like terms: 10x + 4x = 14x -20 + 14x = 20 + 6x Solving -20 + 14x = 20 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -20 + 14x + -6x = 20 + 6x + -6x Combine like terms: 14x + -6x = 8x -20 + 8x = 20 + 6x + -6x Combine like terms: 6x + -6x = 0 -20 + 8x = 20 + 0 -20 + 8x = 20 Add '20' to each side of the equation. -20 + 20 + 8x = 20 + 20 Combine like terms: -20 + 20 = 0 0 + 8x = 20 + 20 8x = 20 + 20 Combine like terms: 20 + 20 = 40 8x = 40 Divide each side by '8'. x = 5 Simplifying x = 5
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