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Simplifying 7 + -5x = 10 + -1(6x + 7) Reorder the terms: 7 + -5x = 10 + -1(7 + 6x) 7 + -5x = 10 + (7 * -1 + 6x * -1) 7 + -5x = 10 + (-7 + -6x) Combine like terms: 10 + -7 = 3 7 + -5x = 3 + -6x Solving 7 + -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. 7 + -5x + 6x = 3 + -6x + 6x Combine like terms: -5x + 6x = 1x 7 + 1x = 3 + -6x + 6x Combine like terms: -6x + 6x = 0 7 + 1x = 3 + 0 7 + 1x = 3 Add '-7' to each side of the equation. 7 + -7 + 1x = 3 + -7 Combine like terms: 7 + -7 = 0 0 + 1x = 3 + -7 1x = 3 + -7 Combine like terms: 3 + -7 = -4 1x = -4 Divide each side by '1'. x = -4 Simplifying x = -4
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