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Simplifying 10x + -12 + 5x + -2x = 2x + 8 + -5 Reorder the terms: -12 + 10x + 5x + -2x = 2x + 8 + -5 Combine like terms: 10x + 5x = 15x -12 + 15x + -2x = 2x + 8 + -5 Combine like terms: 15x + -2x = 13x -12 + 13x = 2x + 8 + -5 Reorder the terms: -12 + 13x = 8 + -5 + 2x Combine like terms: 8 + -5 = 3 -12 + 13x = 3 + 2x Solving -12 + 13x = 3 + 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. -12 + 13x + -2x = 3 + 2x + -2x Combine like terms: 13x + -2x = 11x -12 + 11x = 3 + 2x + -2x Combine like terms: 2x + -2x = 0 -12 + 11x = 3 + 0 -12 + 11x = 3 Add '12' to each side of the equation. -12 + 12 + 11x = 3 + 12 Combine like terms: -12 + 12 = 0 0 + 11x = 3 + 12 11x = 3 + 12 Combine like terms: 3 + 12 = 15 11x = 15 Divide each side by '11'. x = 1.363636364 Simplifying x = 1.363636364
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