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Simplifying 12 + -1(5 + x) = 5x + 7 12 + (5 * -1 + x * -1) = 5x + 7 12 + (-5 + -1x) = 5x + 7 Combine like terms: 12 + -5 = 7 7 + -1x = 5x + 7 Reorder the terms: 7 + -1x = 7 + 5x Add '-7' to each side of the equation. 7 + -7 + -1x = 7 + -7 + 5x Combine like terms: 7 + -7 = 0 0 + -1x = 7 + -7 + 5x -1x = 7 + -7 + 5x Combine like terms: 7 + -7 = 0 -1x = 0 + 5x -1x = 5x Solving -1x = 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -1x + -5x = 5x + -5x Combine like terms: -1x + -5x = -6x -6x = 5x + -5x Combine like terms: 5x + -5x = 0 -6x = 0 Divide each side by '-6'. x = 0 Simplifying x = 0
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