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Simplifying 7 = 2(8x + -1) + 1(5x + 2) Reorder the terms: 7 = 2(-1 + 8x) + 1(5x + 2) 7 = (-1 * 2 + 8x * 2) + 1(5x + 2) 7 = (-2 + 16x) + 1(5x + 2) Reorder the terms: 7 = -2 + 16x + 1(2 + 5x) 7 = -2 + 16x + (2 * 1 + 5x * 1) 7 = -2 + 16x + (2 + 5x) Reorder the terms: 7 = -2 + 2 + 16x + 5x Combine like terms: -2 + 2 = 0 7 = 0 + 16x + 5x 7 = 16x + 5x Combine like terms: 16x + 5x = 21x 7 = 21x Solving 7 = 21x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-21x' to each side of the equation. 7 + -21x = 21x + -21x Combine like terms: 21x + -21x = 0 7 + -21x = 0 Add '-7' to each side of the equation. 7 + -7 + -21x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -21x = 0 + -7 -21x = 0 + -7 Combine like terms: 0 + -7 = -7 -21x = -7 Divide each side by '-21'. x = 0.3333333333 Simplifying x = 0.3333333333
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