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Simplifying 2x + 8 + (4x + -7) + -1(3x + -10) = 35 Reorder the terms: 2x + 8 + (-7 + 4x) + -1(3x + -10) = 35 Remove parenthesis around (-7 + 4x) 2x + 8 + -7 + 4x + -1(3x + -10) = 35 Reorder the terms: 2x + 8 + -7 + 4x + -1(-10 + 3x) = 35 2x + 8 + -7 + 4x + (-10 * -1 + 3x * -1) = 35 2x + 8 + -7 + 4x + (10 + -3x) = 35 Reorder the terms: 8 + -7 + 10 + 2x + 4x + -3x = 35 Combine like terms: 8 + -7 = 1 1 + 10 + 2x + 4x + -3x = 35 Combine like terms: 1 + 10 = 11 11 + 2x + 4x + -3x = 35 Combine like terms: 2x + 4x = 6x 11 + 6x + -3x = 35 Combine like terms: 6x + -3x = 3x 11 + 3x = 35 Solving 11 + 3x = 35 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + 3x = 35 + -11 Combine like terms: 11 + -11 = 0 0 + 3x = 35 + -11 3x = 35 + -11 Combine like terms: 35 + -11 = 24 3x = 24 Divide each side by '3'. x = 8 Simplifying x = 8
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