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Simplifying 36 + 5x + -22 + -1(7x + -16) = 5x + 17 + -1(2x + 22) Reorder the terms: 36 + 5x + -22 + -1(-16 + 7x) = 5x + 17 + -1(2x + 22) 36 + 5x + -22 + (-16 * -1 + 7x * -1) = 5x + 17 + -1(2x + 22) 36 + 5x + -22 + (16 + -7x) = 5x + 17 + -1(2x + 22) Reorder the terms: 36 + -22 + 16 + 5x + -7x = 5x + 17 + -1(2x + 22) Combine like terms: 36 + -22 = 14 14 + 16 + 5x + -7x = 5x + 17 + -1(2x + 22) Combine like terms: 14 + 16 = 30 30 + 5x + -7x = 5x + 17 + -1(2x + 22) Combine like terms: 5x + -7x = -2x 30 + -2x = 5x + 17 + -1(2x + 22) Reorder the terms: 30 + -2x = 5x + 17 + -1(22 + 2x) 30 + -2x = 5x + 17 + (22 * -1 + 2x * -1) 30 + -2x = 5x + 17 + (-22 + -2x) Reorder the terms: 30 + -2x = 17 + -22 + 5x + -2x Combine like terms: 17 + -22 = -5 30 + -2x = -5 + 5x + -2x Combine like terms: 5x + -2x = 3x 30 + -2x = -5 + 3x Solving 30 + -2x = -5 + 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. 30 + -2x + -3x = -5 + 3x + -3x Combine like terms: -2x + -3x = -5x 30 + -5x = -5 + 3x + -3x Combine like terms: 3x + -3x = 0 30 + -5x = -5 + 0 30 + -5x = -5 Add '-30' to each side of the equation. 30 + -30 + -5x = -5 + -30 Combine like terms: 30 + -30 = 0 0 + -5x = -5 + -30 -5x = -5 + -30 Combine like terms: -5 + -30 = -35 -5x = -35 Divide each side by '-5'. x = 7 Simplifying x = 7
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