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Simplifying -8x + -3(1 + -6x) = 4x + 21 -8x + (1 * -3 + -6x * -3) = 4x + 21 -8x + (-3 + 18x) = 4x + 21 Reorder the terms: -3 + -8x + 18x = 4x + 21 Combine like terms: -8x + 18x = 10x -3 + 10x = 4x + 21 Reorder the terms: -3 + 10x = 21 + 4x Solving -3 + 10x = 21 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -3 + 10x + -4x = 21 + 4x + -4x Combine like terms: 10x + -4x = 6x -3 + 6x = 21 + 4x + -4x Combine like terms: 4x + -4x = 0 -3 + 6x = 21 + 0 -3 + 6x = 21 Add '3' to each side of the equation. -3 + 3 + 6x = 21 + 3 Combine like terms: -3 + 3 = 0 0 + 6x = 21 + 3 6x = 21 + 3 Combine like terms: 21 + 3 = 24 6x = 24 Divide each side by '6'. x = 4 Simplifying x = 4
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