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Simplifying -6x + -5x + 5 = 2x + 3 + -12 Reorder the terms: 5 + -6x + -5x = 2x + 3 + -12 Combine like terms: -6x + -5x = -11x 5 + -11x = 2x + 3 + -12 Reorder the terms: 5 + -11x = 3 + -12 + 2x Combine like terms: 3 + -12 = -9 5 + -11x = -9 + 2x Solving 5 + -11x = -9 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 5 + -11x + -2x = -9 + 2x + -2x Combine like terms: -11x + -2x = -13x 5 + -13x = -9 + 2x + -2x Combine like terms: 2x + -2x = 0 5 + -13x = -9 + 0 5 + -13x = -9 Add '-5' to each side of the equation. 5 + -5 + -13x = -9 + -5 Combine like terms: 5 + -5 = 0 0 + -13x = -9 + -5 -13x = -9 + -5 Combine like terms: -9 + -5 = -14 -13x = -14 Divide each side by '-13'. x = 1.076923077 Simplifying x = 1.076923077
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