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Simplifying -3(2x + -8) = 4x + -21 Reorder the terms: -3(-8 + 2x) = 4x + -21 (-8 * -3 + 2x * -3) = 4x + -21 (24 + -6x) = 4x + -21 Reorder the terms: 24 + -6x = -21 + 4x Solving 24 + -6x = -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. 24 + -6x + -4x = -21 + 4x + -4x Combine like terms: -6x + -4x = -10x 24 + -10x = -21 + 4x + -4x Combine like terms: 4x + -4x = 0 24 + -10x = -21 + 0 24 + -10x = -21 Add '-24' to each side of the equation. 24 + -24 + -10x = -21 + -24 Combine like terms: 24 + -24 = 0 0 + -10x = -21 + -24 -10x = -21 + -24 Combine like terms: -21 + -24 = -45 -10x = -45 Divide each side by '-10'. x = 4.5 Simplifying x = 4.5
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