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Simplifying 35 + 7x = 6(-1 + 8x) 35 + 7x = (-1 * 6 + 8x * 6) 35 + 7x = (-6 + 48x) Solving 35 + 7x = -6 + 48x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-48x' to each side of the equation. 35 + 7x + -48x = -6 + 48x + -48x Combine like terms: 7x + -48x = -41x 35 + -41x = -6 + 48x + -48x Combine like terms: 48x + -48x = 0 35 + -41x = -6 + 0 35 + -41x = -6 Add '-35' to each side of the equation. 35 + -35 + -41x = -6 + -35 Combine like terms: 35 + -35 = 0 0 + -41x = -6 + -35 -41x = -6 + -35 Combine like terms: -6 + -35 = -41 -41x = -41 Divide each side by '-41'. x = 1 Simplifying x = 1
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