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Simplifying 1 + 9(x + -1) + -6(2x + 2) = 2x + 5 Reorder the terms: 1 + 9(-1 + x) + -6(2x + 2) = 2x + 5 1 + (-1 * 9 + x * 9) + -6(2x + 2) = 2x + 5 1 + (-9 + 9x) + -6(2x + 2) = 2x + 5 Reorder the terms: 1 + -9 + 9x + -6(2 + 2x) = 2x + 5 1 + -9 + 9x + (2 * -6 + 2x * -6) = 2x + 5 1 + -9 + 9x + (-12 + -12x) = 2x + 5 Reorder the terms: 1 + -9 + -12 + 9x + -12x = 2x + 5 Combine like terms: 1 + -9 = -8 -8 + -12 + 9x + -12x = 2x + 5 Combine like terms: -8 + -12 = -20 -20 + 9x + -12x = 2x + 5 Combine like terms: 9x + -12x = -3x -20 + -3x = 2x + 5 Reorder the terms: -20 + -3x = 5 + 2x Solving -20 + -3x = 5 + 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. -20 + -3x + -2x = 5 + 2x + -2x Combine like terms: -3x + -2x = -5x -20 + -5x = 5 + 2x + -2x Combine like terms: 2x + -2x = 0 -20 + -5x = 5 + 0 -20 + -5x = 5 Add '20' to each side of the equation. -20 + 20 + -5x = 5 + 20 Combine like terms: -20 + 20 = 0 0 + -5x = 5 + 20 -5x = 5 + 20 Combine like terms: 5 + 20 = 25 -5x = 25 Divide each side by '-5'. x = -5 Simplifying x = -5
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