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Simplifying 12x + -8 + 3x + -5 = 11x + -3 + 3x Reorder the terms: -8 + -5 + 12x + 3x = 11x + -3 + 3x Combine like terms: -8 + -5 = -13 -13 + 12x + 3x = 11x + -3 + 3x Combine like terms: 12x + 3x = 15x -13 + 15x = 11x + -3 + 3x Reorder the terms: -13 + 15x = -3 + 11x + 3x Combine like terms: 11x + 3x = 14x -13 + 15x = -3 + 14x Solving -13 + 15x = -3 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. -13 + 15x + -14x = -3 + 14x + -14x Combine like terms: 15x + -14x = 1x -13 + 1x = -3 + 14x + -14x Combine like terms: 14x + -14x = 0 -13 + 1x = -3 + 0 -13 + 1x = -3 Add '13' to each side of the equation. -13 + 13 + 1x = -3 + 13 Combine like terms: -13 + 13 = 0 0 + 1x = -3 + 13 1x = -3 + 13 Combine like terms: -3 + 13 = 10 1x = 10 Divide each side by '1'. x = 10 Simplifying x = 10
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