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Simplifying -5x + 6 = -66 + 3x Reorder the terms: 6 + -5x = -66 + 3x Solving 6 + -5x = -66 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 6 + -5x + -3x = -66 + 3x + -3x Combine like terms: -5x + -3x = -8x 6 + -8x = -66 + 3x + -3x Combine like terms: 3x + -3x = 0 6 + -8x = -66 + 0 6 + -8x = -66 Add '-6' to each side of the equation. 6 + -6 + -8x = -66 + -6 Combine like terms: 6 + -6 = 0 0 + -8x = -66 + -6 -8x = -66 + -6 Combine like terms: -66 + -6 = -72 -8x = -72 Divide each side by '-8'. x = 9 Simplifying x = 9
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