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Simplifying 1 + 2(2x + -5) + -1(2x + 5) = 8 + -6(x + -1) Reorder the terms: 1 + 2(-5 + 2x) + -1(2x + 5) = 8 + -6(x + -1) 1 + (-5 * 2 + 2x * 2) + -1(2x + 5) = 8 + -6(x + -1) 1 + (-10 + 4x) + -1(2x + 5) = 8 + -6(x + -1) Reorder the terms: 1 + -10 + 4x + -1(5 + 2x) = 8 + -6(x + -1) 1 + -10 + 4x + (5 * -1 + 2x * -1) = 8 + -6(x + -1) 1 + -10 + 4x + (-5 + -2x) = 8 + -6(x + -1) Reorder the terms: 1 + -10 + -5 + 4x + -2x = 8 + -6(x + -1) Combine like terms: 1 + -10 = -9 -9 + -5 + 4x + -2x = 8 + -6(x + -1) Combine like terms: -9 + -5 = -14 -14 + 4x + -2x = 8 + -6(x + -1) Combine like terms: 4x + -2x = 2x -14 + 2x = 8 + -6(x + -1) Reorder the terms: -14 + 2x = 8 + -6(-1 + x) -14 + 2x = 8 + (-1 * -6 + x * -6) -14 + 2x = 8 + (6 + -6x) Combine like terms: 8 + 6 = 14 -14 + 2x = 14 + -6x Solving -14 + 2x = 14 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -14 + 2x + 6x = 14 + -6x + 6x Combine like terms: 2x + 6x = 8x -14 + 8x = 14 + -6x + 6x Combine like terms: -6x + 6x = 0 -14 + 8x = 14 + 0 -14 + 8x = 14 Add '14' to each side of the equation. -14 + 14 + 8x = 14 + 14 Combine like terms: -14 + 14 = 0 0 + 8x = 14 + 14 8x = 14 + 14 Combine like terms: 14 + 14 = 28 8x = 28 Divide each side by '8'. x = 3.5 Simplifying x = 3.5
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