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Simplifying 50 + -1(2x + 16) = 2(x + 7) + x Reorder the terms: 50 + -1(16 + 2x) = 2(x + 7) + x 50 + (16 * -1 + 2x * -1) = 2(x + 7) + x 50 + (-16 + -2x) = 2(x + 7) + x Combine like terms: 50 + -16 = 34 34 + -2x = 2(x + 7) + x Reorder the terms: 34 + -2x = 2(7 + x) + x 34 + -2x = (7 * 2 + x * 2) + x 34 + -2x = (14 + 2x) + x Combine like terms: 2x + x = 3x 34 + -2x = 14 + 3x Solving 34 + -2x = 14 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 34 + -2x + -3x = 14 + 3x + -3x Combine like terms: -2x + -3x = -5x 34 + -5x = 14 + 3x + -3x Combine like terms: 3x + -3x = 0 34 + -5x = 14 + 0 34 + -5x = 14 Add '-34' to each side of the equation. 34 + -34 + -5x = 14 + -34 Combine like terms: 34 + -34 = 0 0 + -5x = 14 + -34 -5x = 14 + -34 Combine like terms: 14 + -34 = -20 -5x = -20 Divide each side by '-5'. x = 4 Simplifying x = 4
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