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Simplifying 3x + -2 + -1(2x + -1) + -5(x + -9) = 5 Reorder the terms: 3x + -2 + -1(-1 + 2x) + -5(x + -9) = 5 3x + -2 + (-1 * -1 + 2x * -1) + -5(x + -9) = 5 3x + -2 + (1 + -2x) + -5(x + -9) = 5 Reorder the terms: 3x + -2 + 1 + -2x + -5(-9 + x) = 5 3x + -2 + 1 + -2x + (-9 * -5 + x * -5) = 5 3x + -2 + 1 + -2x + (45 + -5x) = 5 Reorder the terms: -2 + 1 + 45 + 3x + -2x + -5x = 5 Combine like terms: -2 + 1 = -1 -1 + 45 + 3x + -2x + -5x = 5 Combine like terms: -1 + 45 = 44 44 + 3x + -2x + -5x = 5 Combine like terms: 3x + -2x = 1x 44 + 1x + -5x = 5 Combine like terms: 1x + -5x = -4x 44 + -4x = 5 Solving 44 + -4x = 5 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-44' to each side of the equation. 44 + -44 + -4x = 5 + -44 Combine like terms: 44 + -44 = 0 0 + -4x = 5 + -44 -4x = 5 + -44 Combine like terms: 5 + -44 = -39 -4x = -39 Divide each side by '-4'. x = 9.75 Simplifying x = 9.75
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