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Simplifying -4(1 + -2x) + -6x = 21 + -3x (1 * -4 + -2x * -4) + -6x = 21 + -3x (-4 + 8x) + -6x = 21 + -3x Combine like terms: 8x + -6x = 2x -4 + 2x = 21 + -3x Solving -4 + 2x = 21 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -4 + 2x + 3x = 21 + -3x + 3x Combine like terms: 2x + 3x = 5x -4 + 5x = 21 + -3x + 3x Combine like terms: -3x + 3x = 0 -4 + 5x = 21 + 0 -4 + 5x = 21 Add '4' to each side of the equation. -4 + 4 + 5x = 21 + 4 Combine like terms: -4 + 4 = 0 0 + 5x = 21 + 4 5x = 21 + 4 Combine like terms: 21 + 4 = 25 5x = 25 Divide each side by '5'. x = 5 Simplifying x = 5
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