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Simplifying -10x + -35 + 24x = 6x + 13 Reorder the terms: -35 + -10x + 24x = 6x + 13 Combine like terms: -10x + 24x = 14x -35 + 14x = 6x + 13 Reorder the terms: -35 + 14x = 13 + 6x Solving -35 + 14x = 13 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -35 + 14x + -6x = 13 + 6x + -6x Combine like terms: 14x + -6x = 8x -35 + 8x = 13 + 6x + -6x Combine like terms: 6x + -6x = 0 -35 + 8x = 13 + 0 -35 + 8x = 13 Add '35' to each side of the equation. -35 + 35 + 8x = 13 + 35 Combine like terms: -35 + 35 = 0 0 + 8x = 13 + 35 8x = 13 + 35 Combine like terms: 13 + 35 = 48 8x = 48 Divide each side by '8'. x = 6 Simplifying x = 6
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