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Simplifying 5x + -6(7 + -2x) = 10x 5x + (7 * -6 + -2x * -6) = 10x 5x + (-42 + 12x) = 10x Reorder the terms: -42 + 5x + 12x = 10x Combine like terms: 5x + 12x = 17x -42 + 17x = 10x Solving -42 + 17x = 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -42 + 17x + -10x = 10x + -10x Combine like terms: 17x + -10x = 7x -42 + 7x = 10x + -10x Combine like terms: 10x + -10x = 0 -42 + 7x = 0 Add '42' to each side of the equation. -42 + 42 + 7x = 0 + 42 Combine like terms: -42 + 42 = 0 0 + 7x = 0 + 42 7x = 0 + 42 Combine like terms: 0 + 42 = 42 7x = 42 Divide each side by '7'. x = 6 Simplifying x = 6
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