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Simplifying 2(2x + -7) + 5(3 + 2x) + 6 = 1 Reorder the terms: 2(-7 + 2x) + 5(3 + 2x) + 6 = 1 (-7 * 2 + 2x * 2) + 5(3 + 2x) + 6 = 1 (-14 + 4x) + 5(3 + 2x) + 6 = 1 -14 + 4x + (3 * 5 + 2x * 5) + 6 = 1 -14 + 4x + (15 + 10x) + 6 = 1 Reorder the terms: -14 + 15 + 6 + 4x + 10x = 1 Combine like terms: -14 + 15 = 1 1 + 6 + 4x + 10x = 1 Combine like terms: 1 + 6 = 7 7 + 4x + 10x = 1 Combine like terms: 4x + 10x = 14x 7 + 14x = 1 Solving 7 + 14x = 1 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 14x = 1 + -7 Combine like terms: 7 + -7 = 0 0 + 14x = 1 + -7 14x = 1 + -7 Combine like terms: 1 + -7 = -6 14x = -6 Divide each side by '14'. x = -0.4285714286 Simplifying x = -0.4285714286
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