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Simplifying (35 + 5x) + -2(x + -11) = 78 Remove parenthesis around (35 + 5x) 35 + 5x + -2(x + -11) = 78 Reorder the terms: 35 + 5x + -2(-11 + x) = 78 35 + 5x + (-11 * -2 + x * -2) = 78 35 + 5x + (22 + -2x) = 78 Reorder the terms: 35 + 22 + 5x + -2x = 78 Combine like terms: 35 + 22 = 57 57 + 5x + -2x = 78 Combine like terms: 5x + -2x = 3x 57 + 3x = 78 Solving 57 + 3x = 78 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-57' to each side of the equation. 57 + -57 + 3x = 78 + -57 Combine like terms: 57 + -57 = 0 0 + 3x = 78 + -57 3x = 78 + -57 Combine like terms: 78 + -57 = 21 3x = 21 Divide each side by '3'. x = 7 Simplifying x = 7
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