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Simplifying 5x + -1(9x + 8) = 2x + -44 Reorder the terms: 5x + -1(8 + 9x) = 2x + -44 5x + (8 * -1 + 9x * -1) = 2x + -44 5x + (-8 + -9x) = 2x + -44 Reorder the terms: -8 + 5x + -9x = 2x + -44 Combine like terms: 5x + -9x = -4x -8 + -4x = 2x + -44 Reorder the terms: -8 + -4x = -44 + 2x Solving -8 + -4x = -44 + 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. -8 + -4x + -2x = -44 + 2x + -2x Combine like terms: -4x + -2x = -6x -8 + -6x = -44 + 2x + -2x Combine like terms: 2x + -2x = 0 -8 + -6x = -44 + 0 -8 + -6x = -44 Add '8' to each side of the equation. -8 + 8 + -6x = -44 + 8 Combine like terms: -8 + 8 = 0 0 + -6x = -44 + 8 -6x = -44 + 8 Combine like terms: -44 + 8 = -36 -6x = -36 Divide each side by '-6'. x = 6 Simplifying x = 6
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