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Simplifying 5x + 6(-2x + -5) = -38 + -9x Reorder the terms: 5x + 6(-5 + -2x) = -38 + -9x 5x + (-5 * 6 + -2x * 6) = -38 + -9x 5x + (-30 + -12x) = -38 + -9x Reorder the terms: -30 + 5x + -12x = -38 + -9x Combine like terms: 5x + -12x = -7x -30 + -7x = -38 + -9x Solving -30 + -7x = -38 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. -30 + -7x + 9x = -38 + -9x + 9x Combine like terms: -7x + 9x = 2x -30 + 2x = -38 + -9x + 9x Combine like terms: -9x + 9x = 0 -30 + 2x = -38 + 0 -30 + 2x = -38 Add '30' to each side of the equation. -30 + 30 + 2x = -38 + 30 Combine like terms: -30 + 30 = 0 0 + 2x = -38 + 30 2x = -38 + 30 Combine like terms: -38 + 30 = -8 2x = -8 Divide each side by '2'. x = -4 Simplifying x = -4
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