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Simplifying (4x + -3) + -1(2x + 17) = 8 Reorder the terms: (-3 + 4x) + -1(2x + 17) = 8 Remove parenthesis around (-3 + 4x) -3 + 4x + -1(2x + 17) = 8 Reorder the terms: -3 + 4x + -1(17 + 2x) = 8 -3 + 4x + (17 * -1 + 2x * -1) = 8 -3 + 4x + (-17 + -2x) = 8 Reorder the terms: -3 + -17 + 4x + -2x = 8 Combine like terms: -3 + -17 = -20 -20 + 4x + -2x = 8 Combine like terms: 4x + -2x = 2x -20 + 2x = 8 Solving -20 + 2x = 8 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '20' to each side of the equation. -20 + 20 + 2x = 8 + 20 Combine like terms: -20 + 20 = 0 0 + 2x = 8 + 20 2x = 8 + 20 Combine like terms: 8 + 20 = 28 2x = 28 Divide each side by '2'. x = 14 Simplifying x = 14
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