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Simplifying (17x + 6x + -5) + -1(17x + 10x + 7) = 0 Reorder the terms: (-5 + 17x + 6x) + -1(17x + 10x + 7) = 0 Combine like terms: 17x + 6x = 23x (-5 + 23x) + -1(17x + 10x + 7) = 0 Remove parenthesis around (-5 + 23x) -5 + 23x + -1(17x + 10x + 7) = 0 Reorder the terms: -5 + 23x + -1(7 + 17x + 10x) = 0 Combine like terms: 17x + 10x = 27x -5 + 23x + -1(7 + 27x) = 0 -5 + 23x + (7 * -1 + 27x * -1) = 0 -5 + 23x + (-7 + -27x) = 0 Reorder the terms: -5 + -7 + 23x + -27x = 0 Combine like terms: -5 + -7 = -12 -12 + 23x + -27x = 0 Combine like terms: 23x + -27x = -4x -12 + -4x = 0 Solving -12 + -4x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + -4x = 0 + 12 Combine like terms: -12 + 12 = 0 0 + -4x = 0 + 12 -4x = 0 + 12 Combine like terms: 0 + 12 = 12 -4x = 12 Divide each side by '-4'. x = -3 Simplifying x = -3
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