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Simplifying 6 + -2x = 2x + -3(5x + 2) Reorder the terms: 6 + -2x = 2x + -3(2 + 5x) 6 + -2x = 2x + (2 * -3 + 5x * -3) 6 + -2x = 2x + (-6 + -15x) Reorder the terms: 6 + -2x = -6 + 2x + -15x Combine like terms: 2x + -15x = -13x 6 + -2x = -6 + -13x Solving 6 + -2x = -6 + -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. 6 + -2x + 13x = -6 + -13x + 13x Combine like terms: -2x + 13x = 11x 6 + 11x = -6 + -13x + 13x Combine like terms: -13x + 13x = 0 6 + 11x = -6 + 0 6 + 11x = -6 Add '-6' to each side of the equation. 6 + -6 + 11x = -6 + -6 Combine like terms: 6 + -6 = 0 0 + 11x = -6 + -6 11x = -6 + -6 Combine like terms: -6 + -6 = -12 11x = -12 Divide each side by '11'. x = -1.090909091 Simplifying x = -1.090909091
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