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Simplifying 6(x + 2) + 5x = -2(x + -6) + 13 Reorder the terms: 6(2 + x) + 5x = -2(x + -6) + 13 (2 * 6 + x * 6) + 5x = -2(x + -6) + 13 (12 + 6x) + 5x = -2(x + -6) + 13 Combine like terms: 6x + 5x = 11x 12 + 11x = -2(x + -6) + 13 Reorder the terms: 12 + 11x = -2(-6 + x) + 13 12 + 11x = (-6 * -2 + x * -2) + 13 12 + 11x = (12 + -2x) + 13 Reorder the terms: 12 + 11x = 12 + 13 + -2x Combine like terms: 12 + 13 = 25 12 + 11x = 25 + -2x Solving 12 + 11x = 25 + -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 + 11x + 2x = 25 + -2x + 2x Combine like terms: 11x + 2x = 13x 12 + 13x = 25 + -2x + 2x Combine like terms: -2x + 2x = 0 12 + 13x = 25 + 0 12 + 13x = 25 Add '-12' to each side of the equation. 12 + -12 + 13x = 25 + -12 Combine like terms: 12 + -12 = 0 0 + 13x = 25 + -12 13x = 25 + -12 Combine like terms: 25 + -12 = 13 13x = 13 Divide each side by '13'. x = 1 Simplifying x = 1
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