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Simplifying -3(8x + -6) + -7 = 32 + -3x Reorder the terms: -3(-6 + 8x) + -7 = 32 + -3x (-6 * -3 + 8x * -3) + -7 = 32 + -3x (18 + -24x) + -7 = 32 + -3x Reorder the terms: 18 + -7 + -24x = 32 + -3x Combine like terms: 18 + -7 = 11 11 + -24x = 32 + -3x Solving 11 + -24x = 32 + -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. 11 + -24x + 3x = 32 + -3x + 3x Combine like terms: -24x + 3x = -21x 11 + -21x = 32 + -3x + 3x Combine like terms: -3x + 3x = 0 11 + -21x = 32 + 0 11 + -21x = 32 Add '-11' to each side of the equation. 11 + -11 + -21x = 32 + -11 Combine like terms: 11 + -11 = 0 0 + -21x = 32 + -11 -21x = 32 + -11 Combine like terms: 32 + -11 = 21 -21x = 21 Divide each side by '-21'. x = -1 Simplifying x = -1
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