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Simplifying 7x + -5(6x + 2) = 3x + -10 Reorder the terms: 7x + -5(2 + 6x) = 3x + -10 7x + (2 * -5 + 6x * -5) = 3x + -10 7x + (-10 + -30x) = 3x + -10 Reorder the terms: -10 + 7x + -30x = 3x + -10 Combine like terms: 7x + -30x = -23x -10 + -23x = 3x + -10 Reorder the terms: -10 + -23x = -10 + 3x Add '10' to each side of the equation. -10 + 10 + -23x = -10 + 10 + 3x Combine like terms: -10 + 10 = 0 0 + -23x = -10 + 10 + 3x -23x = -10 + 10 + 3x Combine like terms: -10 + 10 = 0 -23x = 0 + 3x -23x = 3x Solving -23x = 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -23x + -3x = 3x + -3x Combine like terms: -23x + -3x = -26x -26x = 3x + -3x Combine like terms: 3x + -3x = 0 -26x = 0 Divide each side by '-26'. x = 0 Simplifying x = 0
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