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Simplifying 6(5x + -7) = 24x Reorder the terms: 6(-7 + 5x) = 24x (-7 * 6 + 5x * 6) = 24x (-42 + 30x) = 24x Solving -42 + 30x = 24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24x' to each side of the equation. -42 + 30x + -24x = 24x + -24x Combine like terms: 30x + -24x = 6x -42 + 6x = 24x + -24x Combine like terms: 24x + -24x = 0 -42 + 6x = 0 Add '42' to each side of the equation. -42 + 42 + 6x = 0 + 42 Combine like terms: -42 + 42 = 0 0 + 6x = 0 + 42 6x = 0 + 42 Combine like terms: 0 + 42 = 42 6x = 42 Divide each side by '6'. x = 7 Simplifying x = 7
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