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Simplifying 10 + -1(x + 5) = 5x + -7 Reorder the terms: 10 + -1(5 + x) = 5x + -7 10 + (5 * -1 + x * -1) = 5x + -7 10 + (-5 + -1x) = 5x + -7 Combine like terms: 10 + -5 = 5 5 + -1x = 5x + -7 Reorder the terms: 5 + -1x = -7 + 5x Solving 5 + -1x = -7 + 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. 5 + -1x + -5x = -7 + 5x + -5x Combine like terms: -1x + -5x = -6x 5 + -6x = -7 + 5x + -5x Combine like terms: 5x + -5x = 0 5 + -6x = -7 + 0 5 + -6x = -7 Add '-5' to each side of the equation. 5 + -5 + -6x = -7 + -5 Combine like terms: 5 + -5 = 0 0 + -6x = -7 + -5 -6x = -7 + -5 Combine like terms: -7 + -5 = -12 -6x = -12 Divide each side by '-6'. x = 2 Simplifying x = 2
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