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Simplifying x + -12x + 1 = 2x + 1 + -15x + 4 Reorder the terms: 1 + x + -12x = 2x + 1 + -15x + 4 Combine like terms: x + -12x = -11x 1 + -11x = 2x + 1 + -15x + 4 Reorder the terms: 1 + -11x = 1 + 4 + 2x + -15x Combine like terms: 1 + 4 = 5 1 + -11x = 5 + 2x + -15x Combine like terms: 2x + -15x = -13x 1 + -11x = 5 + -13x Solving 1 + -11x = 5 + -13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '13x' to each side of the equation. 1 + -11x + 13x = 5 + -13x + 13x Combine like terms: -11x + 13x = 2x 1 + 2x = 5 + -13x + 13x Combine like terms: -13x + 13x = 0 1 + 2x = 5 + 0 1 + 2x = 5 Add '-1' to each side of the equation. 1 + -1 + 2x = 5 + -1 Combine like terms: 1 + -1 = 0 0 + 2x = 5 + -1 2x = 5 + -1 Combine like terms: 5 + -1 = 4 2x = 4 Divide each side by '2'. x = 2 Simplifying x = 2
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