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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 = -7 -7 + -12x = -2(3x + -82) Reorder the terms: -7 + -12x = -2(-82 + 3x) -7 + -12x = (-82 * -2 + 3x * -2) -7 + -12x = (164 + -6x) Solving -7 + -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. -7 + -12x + 6x = 164 + -6x + 6x Combine like terms: -12x + 6x = -6x -7 + -6x = 164 + -6x + 6x Combine like terms: -6x + 6x = 0 -7 + -6x = 164 + 0 -7 + -6x = 164 Add '7' to each side of the equation. -7 + 7 + -6x = 164 + 7 Combine like terms: -7 + 7 = 0 0 + -6x = 164 + 7 -6x = 164 + 7 Combine like terms: 164 + 7 = 171 -6x = 171 Divide each side by '-6'. x = -28.5 Simplifying x = -28.5
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