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Simplifying 35 = 7(x + -6) + 4x Reorder the terms: 35 = 7(-6 + x) + 4x 35 = (-6 * 7 + x * 7) + 4x 35 = (-42 + 7x) + 4x Combine like terms: 7x + 4x = 11x 35 = -42 + 11x Solving 35 = -42 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. 35 + -11x = -42 + 11x + -11x Combine like terms: 11x + -11x = 0 35 + -11x = -42 + 0 35 + -11x = -42 Add '-35' to each side of the equation. 35 + -35 + -11x = -42 + -35 Combine like terms: 35 + -35 = 0 0 + -11x = -42 + -35 -11x = -42 + -35 Combine like terms: -42 + -35 = -77 -11x = -77 Divide each side by '-11'. x = 7 Simplifying x = 7
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