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Simplifying 35 + 2x = -5(8x + 2) + 3 Reorder the terms: 35 + 2x = -5(2 + 8x) + 3 35 + 2x = (2 * -5 + 8x * -5) + 3 35 + 2x = (-10 + -40x) + 3 Reorder the terms: 35 + 2x = -10 + 3 + -40x Combine like terms: -10 + 3 = -7 35 + 2x = -7 + -40x Solving 35 + 2x = -7 + -40x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '40x' to each side of the equation. 35 + 2x + 40x = -7 + -40x + 40x Combine like terms: 2x + 40x = 42x 35 + 42x = -7 + -40x + 40x Combine like terms: -40x + 40x = 0 35 + 42x = -7 + 0 35 + 42x = -7 Add '-35' to each side of the equation. 35 + -35 + 42x = -7 + -35 Combine like terms: 35 + -35 = 0 0 + 42x = -7 + -35 42x = -7 + -35 Combine like terms: -7 + -35 = -42 42x = -42 Divide each side by '42'. x = -1 Simplifying x = -1
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