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Simplifying 7(2x + 6) = 10 + -1(x + -2) Reorder the terms: 7(6 + 2x) = 10 + -1(x + -2) (6 * 7 + 2x * 7) = 10 + -1(x + -2) (42 + 14x) = 10 + -1(x + -2) Reorder the terms: 42 + 14x = 10 + -1(-2 + x) 42 + 14x = 10 + (-2 * -1 + x * -1) 42 + 14x = 10 + (2 + -1x) Combine like terms: 10 + 2 = 12 42 + 14x = 12 + -1x Solving 42 + 14x = 12 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 42 + 14x + x = 12 + -1x + x Combine like terms: 14x + x = 15x 42 + 15x = 12 + -1x + x Combine like terms: -1x + x = 0 42 + 15x = 12 + 0 42 + 15x = 12 Add '-42' to each side of the equation. 42 + -42 + 15x = 12 + -42 Combine like terms: 42 + -42 = 0 0 + 15x = 12 + -42 15x = 12 + -42 Combine like terms: 12 + -42 = -30 15x = -30 Divide each side by '15'. x = -2 Simplifying x = -2
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