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Simplifying 7x + 10 = 5 + -1(2 + -6x) Reorder the terms: 10 + 7x = 5 + -1(2 + -6x) 10 + 7x = 5 + (2 * -1 + -6x * -1) 10 + 7x = 5 + (-2 + 6x) Combine like terms: 5 + -2 = 3 10 + 7x = 3 + 6x Solving 10 + 7x = 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. 10 + 7x + -6x = 3 + 6x + -6x Combine like terms: 7x + -6x = 1x 10 + 1x = 3 + 6x + -6x Combine like terms: 6x + -6x = 0 10 + 1x = 3 + 0 10 + 1x = 3 Add '-10' to each side of the equation. 10 + -10 + 1x = 3 + -10 Combine like terms: 10 + -10 = 0 0 + 1x = 3 + -10 1x = 3 + -10 Combine like terms: 3 + -10 = -7 1x = -7 Divide each side by '1'. x = -7 Simplifying x = -7
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