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Simplifying (9x * 2 + -2x + -5) + -1(-6x * 2 + 6x + 8) = 0 Reorder the terms for easier multiplication: (9 * 2x + -2x + -5) + -1(-6x * 2 + 6x + 8) = 0 Multiply 9 * 2 (18x + -2x + -5) + -1(-6x * 2 + 6x + 8) = 0 Reorder the terms: (-5 + 18x + -2x) + -1(-6x * 2 + 6x + 8) = 0 Combine like terms: 18x + -2x = 16x (-5 + 16x) + -1(-6x * 2 + 6x + 8) = 0 Remove parenthesis around (-5 + 16x) -5 + 16x + -1(-6x * 2 + 6x + 8) = 0 Reorder the terms for easier multiplication: -5 + 16x + -1(-6 * 2x + 6x + 8) = 0 Multiply -6 * 2 -5 + 16x + -1(-12x + 6x + 8) = 0 Reorder the terms: -5 + 16x + -1(8 + -12x + 6x) = 0 Combine like terms: -12x + 6x = -6x -5 + 16x + -1(8 + -6x) = 0 -5 + 16x + (8 * -1 + -6x * -1) = 0 -5 + 16x + (-8 + 6x) = 0 Reorder the terms: -5 + -8 + 16x + 6x = 0 Combine like terms: -5 + -8 = -13 -13 + 16x + 6x = 0 Combine like terms: 16x + 6x = 22x -13 + 22x = 0 Solving -13 + 22x = 0 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 + 22x = 0 + 13 Combine like terms: -13 + 13 = 0 0 + 22x = 0 + 13 22x = 0 + 13 Combine like terms: 0 + 13 = 13 22x = 13 Divide each side by '22'. x = 0.5909090909 Simplifying x = 0.5909090909
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