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Simplifying -4(6x + 2) = 21 + 5x Reorder the terms: -4(2 + 6x) = 21 + 5x (2 * -4 + 6x * -4) = 21 + 5x (-8 + -24x) = 21 + 5x Solving -8 + -24x = 21 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -8 + -24x + -5x = 21 + 5x + -5x Combine like terms: -24x + -5x = -29x -8 + -29x = 21 + 5x + -5x Combine like terms: 5x + -5x = 0 -8 + -29x = 21 + 0 -8 + -29x = 21 Add '8' to each side of the equation. -8 + 8 + -29x = 21 + 8 Combine like terms: -8 + 8 = 0 0 + -29x = 21 + 8 -29x = 21 + 8 Combine like terms: 21 + 8 = 29 -29x = 29 Divide each side by '-29'. x = -1 Simplifying x = -1
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