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Simplifying -32 = -2x + -6(-3x + -8) Reorder the terms: -32 = -2x + -6(-8 + -3x) -32 = -2x + (-8 * -6 + -3x * -6) -32 = -2x + (48 + 18x) Reorder the terms: -32 = 48 + -2x + 18x Combine like terms: -2x + 18x = 16x -32 = 48 + 16x Solving -32 = 48 + 16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. -32 + -16x = 48 + 16x + -16x Combine like terms: 16x + -16x = 0 -32 + -16x = 48 + 0 -32 + -16x = 48 Add '32' to each side of the equation. -32 + 32 + -16x = 48 + 32 Combine like terms: -32 + 32 = 0 0 + -16x = 48 + 32 -16x = 48 + 32 Combine like terms: 48 + 32 = 80 -16x = 80 Divide each side by '-16'. x = -5 Simplifying x = -5
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