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Simplifying 6(x + -2) = -3x + 32 Reorder the terms: 6(-2 + x) = -3x + 32 (-2 * 6 + x * 6) = -3x + 32 (-12 + 6x) = -3x + 32 Reorder the terms: -12 + 6x = 32 + -3x Solving -12 + 6x = 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. -12 + 6x + 3x = 32 + -3x + 3x Combine like terms: 6x + 3x = 9x -12 + 9x = 32 + -3x + 3x Combine like terms: -3x + 3x = 0 -12 + 9x = 32 + 0 -12 + 9x = 32 Add '12' to each side of the equation. -12 + 12 + 9x = 32 + 12 Combine like terms: -12 + 12 = 0 0 + 9x = 32 + 12 9x = 32 + 12 Combine like terms: 32 + 12 = 44 9x = 44 Divide each side by '9'. x = 4.888888889 Simplifying x = 4.888888889
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