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Simplifying 6(2x + -1) + -5x = x + 24 Reorder the terms: 6(-1 + 2x) + -5x = x + 24 (-1 * 6 + 2x * 6) + -5x = x + 24 (-6 + 12x) + -5x = x + 24 Combine like terms: 12x + -5x = 7x -6 + 7x = x + 24 Reorder the terms: -6 + 7x = 24 + x Solving -6 + 7x = 24 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -6 + 7x + -1x = 24 + x + -1x Combine like terms: 7x + -1x = 6x -6 + 6x = 24 + x + -1x Combine like terms: x + -1x = 0 -6 + 6x = 24 + 0 -6 + 6x = 24 Add '6' to each side of the equation. -6 + 6 + 6x = 24 + 6 Combine like terms: -6 + 6 = 0 0 + 6x = 24 + 6 6x = 24 + 6 Combine like terms: 24 + 6 = 30 6x = 30 Divide each side by '6'. x = 5 Simplifying x = 5
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