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Simplifying (x + -7) + 10(x + 2) = 35 Reorder the terms: (-7 + x) + 10(x + 2) = 35 Remove parenthesis around (-7 + x) -7 + x + 10(x + 2) = 35 Reorder the terms: -7 + x + 10(2 + x) = 35 -7 + x + (2 * 10 + x * 10) = 35 -7 + x + (20 + 10x) = 35 Reorder the terms: -7 + 20 + x + 10x = 35 Combine like terms: -7 + 20 = 13 13 + x + 10x = 35 Combine like terms: x + 10x = 11x 13 + 11x = 35 Solving 13 + 11x = 35 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + 11x = 35 + -13 Combine like terms: 13 + -13 = 0 0 + 11x = 35 + -13 11x = 35 + -13 Combine like terms: 35 + -13 = 22 11x = 22 Divide each side by '11'. x = 2 Simplifying x = 2
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