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Simplifying (4x + 3) + -2(x + 4) = 35 Reorder the terms: (3 + 4x) + -2(x + 4) = 35 Remove parenthesis around (3 + 4x) 3 + 4x + -2(x + 4) = 35 Reorder the terms: 3 + 4x + -2(4 + x) = 35 3 + 4x + (4 * -2 + x * -2) = 35 3 + 4x + (-8 + -2x) = 35 Reorder the terms: 3 + -8 + 4x + -2x = 35 Combine like terms: 3 + -8 = -5 -5 + 4x + -2x = 35 Combine like terms: 4x + -2x = 2x -5 + 2x = 35 Solving -5 + 2x = 35 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + 2x = 35 + 5 Combine like terms: -5 + 5 = 0 0 + 2x = 35 + 5 2x = 35 + 5 Combine like terms: 35 + 5 = 40 2x = 40 Divide each side by '2'. x = 20 Simplifying x = 20
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