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Simplifying 10x + 35 = 6 + -1(x + -3) Reorder the terms: 35 + 10x = 6 + -1(x + -3) Reorder the terms: 35 + 10x = 6 + -1(-3 + x) 35 + 10x = 6 + (-3 * -1 + x * -1) 35 + 10x = 6 + (3 + -1x) Combine like terms: 6 + 3 = 9 35 + 10x = 9 + -1x Solving 35 + 10x = 9 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 35 + 10x + x = 9 + -1x + x Combine like terms: 10x + x = 11x 35 + 11x = 9 + -1x + x Combine like terms: -1x + x = 0 35 + 11x = 9 + 0 35 + 11x = 9 Add '-35' to each side of the equation. 35 + -35 + 11x = 9 + -35 Combine like terms: 35 + -35 = 0 0 + 11x = 9 + -35 11x = 9 + -35 Combine like terms: 9 + -35 = -26 11x = -26 Divide each side by '11'. x = -2.363636364 Simplifying x = -2.363636364
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