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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 = -20x -32 = 48 + -20x Solving -32 = 48 + -20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '20x' to each side of the equation. -32 + 20x = 48 + -20x + 20x Combine like terms: -20x + 20x = 0 -32 + 20x = 48 + 0 -32 + 20x = 48 Add '32' to each side of the equation. -32 + 32 + 20x = 48 + 32 Combine like terms: -32 + 32 = 0 0 + 20x = 48 + 32 20x = 48 + 32 Combine like terms: 48 + 32 = 80 20x = 80 Divide each side by '20'. x = 4 Simplifying x = 4
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