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Simplifying 12x + 14(x + 2) = 6(x + -2) + 7(x + 5) Reorder the terms: 12x + 14(2 + x) = 6(x + -2) + 7(x + 5) 12x + (2 * 14 + x * 14) = 6(x + -2) + 7(x + 5) 12x + (28 + 14x) = 6(x + -2) + 7(x + 5) Reorder the terms: 28 + 12x + 14x = 6(x + -2) + 7(x + 5) Combine like terms: 12x + 14x = 26x 28 + 26x = 6(x + -2) + 7(x + 5) Reorder the terms: 28 + 26x = 6(-2 + x) + 7(x + 5) 28 + 26x = (-2 * 6 + x * 6) + 7(x + 5) 28 + 26x = (-12 + 6x) + 7(x + 5) Reorder the terms: 28 + 26x = -12 + 6x + 7(5 + x) 28 + 26x = -12 + 6x + (5 * 7 + x * 7) 28 + 26x = -12 + 6x + (35 + 7x) Reorder the terms: 28 + 26x = -12 + 35 + 6x + 7x Combine like terms: -12 + 35 = 23 28 + 26x = 23 + 6x + 7x Combine like terms: 6x + 7x = 13x 28 + 26x = 23 + 13x Solving 28 + 26x = 23 + 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. 28 + 26x + -13x = 23 + 13x + -13x Combine like terms: 26x + -13x = 13x 28 + 13x = 23 + 13x + -13x Combine like terms: 13x + -13x = 0 28 + 13x = 23 + 0 28 + 13x = 23 Add '-28' to each side of the equation. 28 + -28 + 13x = 23 + -28 Combine like terms: 28 + -28 = 0 0 + 13x = 23 + -28 13x = 23 + -28 Combine like terms: 23 + -28 = -5 13x = -5 Divide each side by '13'. x = -0.3846153846 Simplifying x = -0.3846153846
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