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Simplifying 7x + -5(6x + -1) = -7x + 5 Reorder the terms: 7x + -5(-1 + 6x) = -7x + 5 7x + (-1 * -5 + 6x * -5) = -7x + 5 7x + (5 + -30x) = -7x + 5 Reorder the terms: 5 + 7x + -30x = -7x + 5 Combine like terms: 7x + -30x = -23x 5 + -23x = -7x + 5 Reorder the terms: 5 + -23x = 5 + -7x Add '-5' to each side of the equation. 5 + -5 + -23x = 5 + -5 + -7x Combine like terms: 5 + -5 = 0 0 + -23x = 5 + -5 + -7x -23x = 5 + -5 + -7x Combine like terms: 5 + -5 = 0 -23x = 0 + -7x -23x = -7x Solving -23x = -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. -23x + 7x = -7x + 7x Combine like terms: -23x + 7x = -16x -16x = -7x + 7x Combine like terms: -7x + 7x = 0 -16x = 0 Divide each side by '-16'. x = 0 Simplifying x = 0
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