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Simplifying 24(x + -1) = 6(4 + -1x) + 18x Reorder the terms: 24(-1 + x) = 6(4 + -1x) + 18x (-1 * 24 + x * 24) = 6(4 + -1x) + 18x (-24 + 24x) = 6(4 + -1x) + 18x -24 + 24x = (4 * 6 + -1x * 6) + 18x -24 + 24x = (24 + -6x) + 18x Combine like terms: -6x + 18x = 12x -24 + 24x = 24 + 12x Solving -24 + 24x = 24 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -24 + 24x + -12x = 24 + 12x + -12x Combine like terms: 24x + -12x = 12x -24 + 12x = 24 + 12x + -12x Combine like terms: 12x + -12x = 0 -24 + 12x = 24 + 0 -24 + 12x = 24 Add '24' to each side of the equation. -24 + 24 + 12x = 24 + 24 Combine like terms: -24 + 24 = 0 0 + 12x = 24 + 24 12x = 24 + 24 Combine like terms: 24 + 24 = 48 12x = 48 Divide each side by '12'. x = 4 Simplifying x = 4
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