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Simplifying -3 + -6(4x + -5) = 3(3x + 8) + 7 Reorder the terms: -3 + -6(-5 + 4x) = 3(3x + 8) + 7 -3 + (-5 * -6 + 4x * -6) = 3(3x + 8) + 7 -3 + (30 + -24x) = 3(3x + 8) + 7 Combine like terms: -3 + 30 = 27 27 + -24x = 3(3x + 8) + 7 Reorder the terms: 27 + -24x = 3(8 + 3x) + 7 27 + -24x = (8 * 3 + 3x * 3) + 7 27 + -24x = (24 + 9x) + 7 Reorder the terms: 27 + -24x = 24 + 7 + 9x Combine like terms: 24 + 7 = 31 27 + -24x = 31 + 9x Solving 27 + -24x = 31 + 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. 27 + -24x + -9x = 31 + 9x + -9x Combine like terms: -24x + -9x = -33x 27 + -33x = 31 + 9x + -9x Combine like terms: 9x + -9x = 0 27 + -33x = 31 + 0 27 + -33x = 31 Add '-27' to each side of the equation. 27 + -27 + -33x = 31 + -27 Combine like terms: 27 + -27 = 0 0 + -33x = 31 + -27 -33x = 31 + -27 Combine like terms: 31 + -27 = 4 -33x = 4 Divide each side by '-33'. x = -0.1212121212 Simplifying x = -0.1212121212
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