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Simplifying 6x + -12 + -2x + 7 = 2 + 15x + -20 Reorder the terms: -12 + 7 + 6x + -2x = 2 + 15x + -20 Combine like terms: -12 + 7 = -5 -5 + 6x + -2x = 2 + 15x + -20 Combine like terms: 6x + -2x = 4x -5 + 4x = 2 + 15x + -20 Reorder the terms: -5 + 4x = 2 + -20 + 15x Combine like terms: 2 + -20 = -18 -5 + 4x = -18 + 15x Solving -5 + 4x = -18 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. -5 + 4x + -15x = -18 + 15x + -15x Combine like terms: 4x + -15x = -11x -5 + -11x = -18 + 15x + -15x Combine like terms: 15x + -15x = 0 -5 + -11x = -18 + 0 -5 + -11x = -18 Add '5' to each side of the equation. -5 + 5 + -11x = -18 + 5 Combine like terms: -5 + 5 = 0 0 + -11x = -18 + 5 -11x = -18 + 5 Combine like terms: -18 + 5 = -13 -11x = -13 Divide each side by '-11'. x = 1.181818182 Simplifying x = 1.181818182
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