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Simplifying 7x + -1(3x + -10) = 6 + (x + -9) Reorder the terms: 7x + -1(-10 + 3x) = 6 + (x + -9) 7x + (-10 * -1 + 3x * -1) = 6 + (x + -9) 7x + (10 + -3x) = 6 + (x + -9) Reorder the terms: 10 + 7x + -3x = 6 + (x + -9) Combine like terms: 7x + -3x = 4x 10 + 4x = 6 + (x + -9) Reorder the terms: 10 + 4x = 6 + (-9 + x) Remove parenthesis around (-9 + x) 10 + 4x = 6 + -9 + x Combine like terms: 6 + -9 = -3 10 + 4x = -3 + x Solving 10 + 4x = -3 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 10 + 4x + -1x = -3 + x + -1x Combine like terms: 4x + -1x = 3x 10 + 3x = -3 + x + -1x Combine like terms: x + -1x = 0 10 + 3x = -3 + 0 10 + 3x = -3 Add '-10' to each side of the equation. 10 + -10 + 3x = -3 + -10 Combine like terms: 10 + -10 = 0 0 + 3x = -3 + -10 3x = -3 + -10 Combine like terms: -3 + -10 = -13 3x = -13 Divide each side by '3'. x = -4.333333333 Simplifying x = -4.333333333
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