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Simplifying (2x + 3) + -2(4x + 8) = 17 Reorder the terms: (3 + 2x) + -2(4x + 8) = 17 Remove parenthesis around (3 + 2x) 3 + 2x + -2(4x + 8) = 17 Reorder the terms: 3 + 2x + -2(8 + 4x) = 17 3 + 2x + (8 * -2 + 4x * -2) = 17 3 + 2x + (-16 + -8x) = 17 Reorder the terms: 3 + -16 + 2x + -8x = 17 Combine like terms: 3 + -16 = -13 -13 + 2x + -8x = 17 Combine like terms: 2x + -8x = -6x -13 + -6x = 17 Solving -13 + -6x = 17 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13 + -6x = 17 + 13 Combine like terms: -13 + 13 = 0 0 + -6x = 17 + 13 -6x = 17 + 13 Combine like terms: 17 + 13 = 30 -6x = 30 Divide each side by '-6'. x = -5 Simplifying x = -5
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