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Simplifying -6(6 + -4x) + 5 = 8x + 33 (6 * -6 + -4x * -6) + 5 = 8x + 33 (-36 + 24x) + 5 = 8x + 33 Reorder the terms: -36 + 5 + 24x = 8x + 33 Combine like terms: -36 + 5 = -31 -31 + 24x = 8x + 33 Reorder the terms: -31 + 24x = 33 + 8x Solving -31 + 24x = 33 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -31 + 24x + -8x = 33 + 8x + -8x Combine like terms: 24x + -8x = 16x -31 + 16x = 33 + 8x + -8x Combine like terms: 8x + -8x = 0 -31 + 16x = 33 + 0 -31 + 16x = 33 Add '31' to each side of the equation. -31 + 31 + 16x = 33 + 31 Combine like terms: -31 + 31 = 0 0 + 16x = 33 + 31 16x = 33 + 31 Combine like terms: 33 + 31 = 64 16x = 64 Divide each side by '16'. x = 4 Simplifying x = 4
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