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Simplifying 6(x + -2) = -3x + 33 Reorder the terms: 6(-2 + x) = -3x + 33 (-2 * 6 + x * 6) = -3x + 33 (-12 + 6x) = -3x + 33 Reorder the terms: -12 + 6x = 33 + -3x Solving -12 + 6x = 33 + -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 = 33 + -3x + 3x Combine like terms: 6x + 3x = 9x -12 + 9x = 33 + -3x + 3x Combine like terms: -3x + 3x = 0 -12 + 9x = 33 + 0 -12 + 9x = 33 Add '12' to each side of the equation. -12 + 12 + 9x = 33 + 12 Combine like terms: -12 + 12 = 0 0 + 9x = 33 + 12 9x = 33 + 12 Combine like terms: 33 + 12 = 45 9x = 45 Divide each side by '9'. x = 5 Simplifying x = 5
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