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Simplifying 12x + -8 + -15 = -2(3x + -82) Reorder the terms: -8 + -15 + 12x = -2(3x + -82) Combine like terms: -8 + -15 = -23 -23 + 12x = -2(3x + -82) Reorder the terms: -23 + 12x = -2(-82 + 3x) -23 + 12x = (-82 * -2 + 3x * -2) -23 + 12x = (164 + -6x) Solving -23 + 12x = 164 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -23 + 12x + 6x = 164 + -6x + 6x Combine like terms: 12x + 6x = 18x -23 + 18x = 164 + -6x + 6x Combine like terms: -6x + 6x = 0 -23 + 18x = 164 + 0 -23 + 18x = 164 Add '23' to each side of the equation. -23 + 23 + 18x = 164 + 23 Combine like terms: -23 + 23 = 0 0 + 18x = 164 + 23 18x = 164 + 23 Combine like terms: 164 + 23 = 187 18x = 187 Divide each side by '18'. x = 10.38888889 Simplifying x = 10.38888889
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