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Simplifying (6x + -17) + -1(-2x + 3) = 0 Reorder the terms: (-17 + 6x) + -1(-2x + 3) = 0 Remove parenthesis around (-17 + 6x) -17 + 6x + -1(-2x + 3) = 0 Reorder the terms: -17 + 6x + -1(3 + -2x) = 0 -17 + 6x + (3 * -1 + -2x * -1) = 0 -17 + 6x + (-3 + 2x) = 0 Reorder the terms: -17 + -3 + 6x + 2x = 0 Combine like terms: -17 + -3 = -20 -20 + 6x + 2x = 0 Combine like terms: 6x + 2x = 8x -20 + 8x = 0 Solving -20 + 8x = 0 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 + 8x = 0 + 20 Combine like terms: -20 + 20 = 0 0 + 8x = 0 + 20 8x = 0 + 20 Combine like terms: 0 + 20 = 20 8x = 20 Divide each side by '8'. x = 2.5 Simplifying x = 2.5
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