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Simplifying 2(1 + 6x) + 3(x + 5) = x + 4 + 7 (1 * 2 + 6x * 2) + 3(x + 5) = x + 4 + 7 (2 + 12x) + 3(x + 5) = x + 4 + 7 Reorder the terms: 2 + 12x + 3(5 + x) = x + 4 + 7 2 + 12x + (5 * 3 + x * 3) = x + 4 + 7 2 + 12x + (15 + 3x) = x + 4 + 7 Reorder the terms: 2 + 15 + 12x + 3x = x + 4 + 7 Combine like terms: 2 + 15 = 17 17 + 12x + 3x = x + 4 + 7 Combine like terms: 12x + 3x = 15x 17 + 15x = x + 4 + 7 Reorder the terms: 17 + 15x = 4 + 7 + x Combine like terms: 4 + 7 = 11 17 + 15x = 11 + x Solving 17 + 15x = 11 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 17 + 15x + -1x = 11 + x + -1x Combine like terms: 15x + -1x = 14x 17 + 14x = 11 + x + -1x Combine like terms: x + -1x = 0 17 + 14x = 11 + 0 17 + 14x = 11 Add '-17' to each side of the equation. 17 + -17 + 14x = 11 + -17 Combine like terms: 17 + -17 = 0 0 + 14x = 11 + -17 14x = 11 + -17 Combine like terms: 11 + -17 = -6 14x = -6 Divide each side by '14'. x = -0.4285714286 Simplifying x = -0.4285714286
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