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Simplifying 167 = 2x + 5(4x + 7) Reorder the terms: 167 = 2x + 5(7 + 4x) 167 = 2x + (7 * 5 + 4x * 5) 167 = 2x + (35 + 20x) Reorder the terms: 167 = 35 + 2x + 20x Combine like terms: 2x + 20x = 22x 167 = 35 + 22x Solving 167 = 35 + 22x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-22x' to each side of the equation. 167 + -22x = 35 + 22x + -22x Combine like terms: 22x + -22x = 0 167 + -22x = 35 + 0 167 + -22x = 35 Add '-167' to each side of the equation. 167 + -167 + -22x = 35 + -167 Combine like terms: 167 + -167 = 0 0 + -22x = 35 + -167 -22x = 35 + -167 Combine like terms: 35 + -167 = -132 -22x = -132 Divide each side by '-22'. x = 6 Simplifying x = 6
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