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Simplifying 50 + -1(3(2x + -3) + -2(2x + -1)) = 23 Reorder the terms: 50 + -1(3(-3 + 2x) + -2(2x + -1)) = 23 50 + -1((-3 * 3 + 2x * 3) + -2(2x + -1)) = 23 50 + -1((-9 + 6x) + -2(2x + -1)) = 23 Reorder the terms: 50 + -1(-9 + 6x + -2(-1 + 2x)) = 23 50 + -1(-9 + 6x + (-1 * -2 + 2x * -2)) = 23 50 + -1(-9 + 6x + (2 + -4x)) = 23 Reorder the terms: 50 + -1(-9 + 2 + 6x + -4x) = 23 Combine like terms: -9 + 2 = -7 50 + -1(-7 + 6x + -4x) = 23 Combine like terms: 6x + -4x = 2x 50 + -1(-7 + 2x) = 23 50 + (-7 * -1 + 2x * -1) = 23 50 + (7 + -2x) = 23 Combine like terms: 50 + 7 = 57 57 + -2x = 23 Solving 57 + -2x = 23 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 + -2x = 23 + -57 Combine like terms: 57 + -57 = 0 0 + -2x = 23 + -57 -2x = 23 + -57 Combine like terms: 23 + -57 = -34 -2x = -34 Divide each side by '-2'. x = 17 Simplifying x = 17
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