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Simplifying 50 + -1(2x + 16) = 2(x + 7) + 7 Reorder the terms: 50 + -1(16 + 2x) = 2(x + 7) + 7 50 + (16 * -1 + 2x * -1) = 2(x + 7) + 7 50 + (-16 + -2x) = 2(x + 7) + 7 Combine like terms: 50 + -16 = 34 34 + -2x = 2(x + 7) + 7 Reorder the terms: 34 + -2x = 2(7 + x) + 7 34 + -2x = (7 * 2 + x * 2) + 7 34 + -2x = (14 + 2x) + 7 Reorder the terms: 34 + -2x = 14 + 7 + 2x Combine like terms: 14 + 7 = 21 34 + -2x = 21 + 2x Solving 34 + -2x = 21 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 34 + -2x + -2x = 21 + 2x + -2x Combine like terms: -2x + -2x = -4x 34 + -4x = 21 + 2x + -2x Combine like terms: 2x + -2x = 0 34 + -4x = 21 + 0 34 + -4x = 21 Add '-34' to each side of the equation. 34 + -34 + -4x = 21 + -34 Combine like terms: 34 + -34 = 0 0 + -4x = 21 + -34 -4x = 21 + -34 Combine like terms: 21 + -34 = -13 -4x = -13 Divide each side by '-4'. x = 3.25 Simplifying x = 3.25
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