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Simplifying 67 = 2(1 + 5x) + -7(1 + -3x) 67 = (1 * 2 + 5x * 2) + -7(1 + -3x) 67 = (2 + 10x) + -7(1 + -3x) 67 = 2 + 10x + (1 * -7 + -3x * -7) 67 = 2 + 10x + (-7 + 21x) Reorder the terms: 67 = 2 + -7 + 10x + 21x Combine like terms: 2 + -7 = -5 67 = -5 + 10x + 21x Combine like terms: 10x + 21x = 31x 67 = -5 + 31x Solving 67 = -5 + 31x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-31x' to each side of the equation. 67 + -31x = -5 + 31x + -31x Combine like terms: 31x + -31x = 0 67 + -31x = -5 + 0 67 + -31x = -5 Add '-67' to each side of the equation. 67 + -67 + -31x = -5 + -67 Combine like terms: 67 + -67 = 0 0 + -31x = -5 + -67 -31x = -5 + -67 Combine like terms: -5 + -67 = -72 -31x = -72 Divide each side by '-31'. x = 2.322580645 Simplifying x = 2.322580645
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