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Simplifying -24 + 5x = 7x + 6(-7x + -4) Reorder the terms: -24 + 5x = 7x + 6(-4 + -7x) -24 + 5x = 7x + (-4 * 6 + -7x * 6) -24 + 5x = 7x + (-24 + -42x) Reorder the terms: -24 + 5x = -24 + 7x + -42x Combine like terms: 7x + -42x = -35x -24 + 5x = -24 + -35x Add '24' to each side of the equation. -24 + 24 + 5x = -24 + 24 + -35x Combine like terms: -24 + 24 = 0 0 + 5x = -24 + 24 + -35x 5x = -24 + 24 + -35x Combine like terms: -24 + 24 = 0 5x = 0 + -35x 5x = -35x Solving 5x = -35x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '35x' to each side of the equation. 5x + 35x = -35x + 35x Combine like terms: 5x + 35x = 40x 40x = -35x + 35x Combine like terms: -35x + 35x = 0 40x = 0 Divide each side by '40'. x = 0.0 Simplifying x = 0.0
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