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Simplifying 7(3x + -6) + -5x = 24 Reorder the terms: 7(-6 + 3x) + -5x = 24 (-6 * 7 + 3x * 7) + -5x = 24 (-42 + 21x) + -5x = 24 Combine like terms: 21x + -5x = 16x -42 + 16x = 24 Solving -42 + 16x = 24 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '42' to each side of the equation. -42 + 42 + 16x = 24 + 42 Combine like terms: -42 + 42 = 0 0 + 16x = 24 + 42 16x = 24 + 42 Combine like terms: 24 + 42 = 66 16x = 66 Divide each side by '16'. x = 4.125 Simplifying x = 4.125
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