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Simplifying 3(x + -2) + -1(x + -5) = 9x + 1 + -4x Reorder the terms: 3(-2 + x) + -1(x + -5) = 9x + 1 + -4x (-2 * 3 + x * 3) + -1(x + -5) = 9x + 1 + -4x (-6 + 3x) + -1(x + -5) = 9x + 1 + -4x Reorder the terms: -6 + 3x + -1(-5 + x) = 9x + 1 + -4x -6 + 3x + (-5 * -1 + x * -1) = 9x + 1 + -4x -6 + 3x + (5 + -1x) = 9x + 1 + -4x Reorder the terms: -6 + 5 + 3x + -1x = 9x + 1 + -4x Combine like terms: -6 + 5 = -1 -1 + 3x + -1x = 9x + 1 + -4x Combine like terms: 3x + -1x = 2x -1 + 2x = 9x + 1 + -4x Reorder the terms: -1 + 2x = 1 + 9x + -4x Combine like terms: 9x + -4x = 5x -1 + 2x = 1 + 5x Solving -1 + 2x = 1 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -1 + 2x + -5x = 1 + 5x + -5x Combine like terms: 2x + -5x = -3x -1 + -3x = 1 + 5x + -5x Combine like terms: 5x + -5x = 0 -1 + -3x = 1 + 0 -1 + -3x = 1 Add '1' to each side of the equation. -1 + 1 + -3x = 1 + 1 Combine like terms: -1 + 1 = 0 0 + -3x = 1 + 1 -3x = 1 + 1 Combine like terms: 1 + 1 = 2 -3x = 2 Divide each side by '-3'. x = -0.6666666667 Simplifying x = -0.6666666667
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