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Simplifying 4x + 35 = -2(1 + x) Reorder the terms: 35 + 4x = -2(1 + x) 35 + 4x = (1 * -2 + x * -2) 35 + 4x = (-2 + -2x) Solving 35 + 4x = -2 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 35 + 4x + 2x = -2 + -2x + 2x Combine like terms: 4x + 2x = 6x 35 + 6x = -2 + -2x + 2x Combine like terms: -2x + 2x = 0 35 + 6x = -2 + 0 35 + 6x = -2 Add '-35' to each side of the equation. 35 + -35 + 6x = -2 + -35 Combine like terms: 35 + -35 = 0 0 + 6x = -2 + -35 6x = -2 + -35 Combine like terms: -2 + -35 = -37 6x = -37 Divide each side by '6'. x = -6.166666667 Simplifying x = -6.166666667
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