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Simplifying (3x + -7) + 2((x + -5) + 8x) = 0 Reorder the terms: (-7 + 3x) + 2((x + -5) + 8x) = 0 Remove parenthesis around (-7 + 3x) -7 + 3x + 2((x + -5) + 8x) = 0 Reorder the terms: -7 + 3x + 2((-5 + x) + 8x) = 0 Remove parenthesis around (-5 + x) -7 + 3x + 2(-5 + x + 8x) = 0 Combine like terms: x + 8x = 9x -7 + 3x + 2(-5 + 9x) = 0 -7 + 3x + (-5 * 2 + 9x * 2) = 0 -7 + 3x + (-10 + 18x) = 0 Reorder the terms: -7 + -10 + 3x + 18x = 0 Combine like terms: -7 + -10 = -17 -17 + 3x + 18x = 0 Combine like terms: 3x + 18x = 21x -17 + 21x = 0 Solving -17 + 21x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '17' to each side of the equation. -17 + 17 + 21x = 0 + 17 Combine like terms: -17 + 17 = 0 0 + 21x = 0 + 17 21x = 0 + 17 Combine like terms: 0 + 17 = 17 21x = 17 Divide each side by '21'. x = 0.8095238095 Simplifying x = 0.8095238095
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