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Simplifying 5x + 6(-3x + -6) = 44 + -5x Reorder the terms: 5x + 6(-6 + -3x) = 44 + -5x 5x + (-6 * 6 + -3x * 6) = 44 + -5x 5x + (-36 + -18x) = 44 + -5x Reorder the terms: -36 + 5x + -18x = 44 + -5x Combine like terms: 5x + -18x = -13x -36 + -13x = 44 + -5x Solving -36 + -13x = 44 + -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. -36 + -13x + 5x = 44 + -5x + 5x Combine like terms: -13x + 5x = -8x -36 + -8x = 44 + -5x + 5x Combine like terms: -5x + 5x = 0 -36 + -8x = 44 + 0 -36 + -8x = 44 Add '36' to each side of the equation. -36 + 36 + -8x = 44 + 36 Combine like terms: -36 + 36 = 0 0 + -8x = 44 + 36 -8x = 44 + 36 Combine like terms: 44 + 36 = 80 -8x = 80 Divide each side by '-8'. x = -10 Simplifying x = -10
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