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Simplifying 1 + -5x = 10 + -1(6x + 7) Reorder the terms: 1 + -5x = 10 + -1(7 + 6x) 1 + -5x = 10 + (7 * -1 + 6x * -1) 1 + -5x = 10 + (-7 + -6x) Combine like terms: 10 + -7 = 3 1 + -5x = 3 + -6x Solving 1 + -5x = 3 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 1 + -5x + 6x = 3 + -6x + 6x Combine like terms: -5x + 6x = 1x 1 + 1x = 3 + -6x + 6x Combine like terms: -6x + 6x = 0 1 + 1x = 3 + 0 1 + 1x = 3 Add '-1' to each side of the equation. 1 + -1 + 1x = 3 + -1 Combine like terms: 1 + -1 = 0 0 + 1x = 3 + -1 1x = 3 + -1 Combine like terms: 3 + -1 = 2 1x = 2 Divide each side by '1'. x = 2 Simplifying x = 2
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