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Simplifying 5(6x + 7) = 8x + x Reorder the terms: 5(7 + 6x) = 8x + x (7 * 5 + 6x * 5) = 8x + x (35 + 30x) = 8x + x Combine like terms: 8x + x = 9x 35 + 30x = 9x Solving 35 + 30x = 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 35 + 30x + -9x = 9x + -9x Combine like terms: 30x + -9x = 21x 35 + 21x = 9x + -9x Combine like terms: 9x + -9x = 0 35 + 21x = 0 Add '-35' to each side of the equation. 35 + -35 + 21x = 0 + -35 Combine like terms: 35 + -35 = 0 0 + 21x = 0 + -35 21x = 0 + -35 Combine like terms: 0 + -35 = -35 21x = -35 Divide each side by '21'. x = -1.666666667 Simplifying x = -1.666666667
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