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Simplifying 137 = -4x + 7(3x + 5) Reorder the terms: 137 = -4x + 7(5 + 3x) 137 = -4x + (5 * 7 + 3x * 7) 137 = -4x + (35 + 21x) Reorder the terms: 137 = 35 + -4x + 21x Combine like terms: -4x + 21x = 17x 137 = 35 + 17x Solving 137 = 35 + 17x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-17x' to each side of the equation. 137 + -17x = 35 + 17x + -17x Combine like terms: 17x + -17x = 0 137 + -17x = 35 + 0 137 + -17x = 35 Add '-137' to each side of the equation. 137 + -137 + -17x = 35 + -137 Combine like terms: 137 + -137 = 0 0 + -17x = 35 + -137 -17x = 35 + -137 Combine like terms: 35 + -137 = -102 -17x = -102 Divide each side by '-17'. x = 6 Simplifying x = 6
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