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Simplifying 167 = 7 + 5(-3x + 8) Reorder the terms: 167 = 7 + 5(8 + -3x) 167 = 7 + (8 * 5 + -3x * 5) 167 = 7 + (40 + -15x) Combine like terms: 7 + 40 = 47 167 = 47 + -15x Solving 167 = 47 + -15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '15x' to each side of the equation. 167 + 15x = 47 + -15x + 15x Combine like terms: -15x + 15x = 0 167 + 15x = 47 + 0 167 + 15x = 47 Add '-167' to each side of the equation. 167 + -167 + 15x = 47 + -167 Combine like terms: 167 + -167 = 0 0 + 15x = 47 + -167 15x = 47 + -167 Combine like terms: 47 + -167 = -120 15x = -120 Divide each side by '15'. x = -8 Simplifying x = -8
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