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Simplifying 6(0.5x + -4) = 21 + 6x Reorder the terms: 6(-4 + 0.5x) = 21 + 6x (-4 * 6 + 0.5x * 6) = 21 + 6x (-24 + 3x) = 21 + 6x Solving -24 + 3x = 21 + 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. -24 + 3x + -6x = 21 + 6x + -6x Combine like terms: 3x + -6x = -3x -24 + -3x = 21 + 6x + -6x Combine like terms: 6x + -6x = 0 -24 + -3x = 21 + 0 -24 + -3x = 21 Add '24' to each side of the equation. -24 + 24 + -3x = 21 + 24 Combine like terms: -24 + 24 = 0 0 + -3x = 21 + 24 -3x = 21 + 24 Combine like terms: 21 + 24 = 45 -3x = 45 Divide each side by '-3'. x = -15 Simplifying x = -15
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