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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 Solving -67 = -5 + 10X + 21x Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-10X' to each side of the equation. -67 + -10X = -5 + 10X + -10X + 21x Combine like terms: 10X + -10X = 0 -67 + -10X = -5 + 0 + 21x -67 + -10X = -5 + 21x Add '67' to each side of the equation. -67 + 67 + -10X = -5 + 67 + 21x Combine like terms: -67 + 67 = 0 0 + -10X = -5 + 67 + 21x -10X = -5 + 67 + 21x Combine like terms: -5 + 67 = 62 -10X = 62 + 21x Divide each side by '-10'. X = -6.2 + -2.1x Simplifying X = -6.2 + -2.1x
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