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Simplifying -33 = 3(-6 + 7x) + -6(1 + 3x) -33 = (-6 * 3 + 7x * 3) + -6(1 + 3x) -33 = (-18 + 21x) + -6(1 + 3x) -33 = -18 + 21x + (1 * -6 + 3x * -6) -33 = -18 + 21x + (-6 + -18x) Reorder the terms: -33 = -18 + -6 + 21x + -18x Combine like terms: -18 + -6 = -24 -33 = -24 + 21x + -18x Combine like terms: 21x + -18x = 3x -33 = -24 + 3x Solving -33 = -24 + 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. -33 + -3x = -24 + 3x + -3x Combine like terms: 3x + -3x = 0 -33 + -3x = -24 + 0 -33 + -3x = -24 Add '33' to each side of the equation. -33 + 33 + -3x = -24 + 33 Combine like terms: -33 + 33 = 0 0 + -3x = -24 + 33 -3x = -24 + 33 Combine like terms: -24 + 33 = 9 -3x = 9 Divide each side by '-3'. x = -3 Simplifying x = -3
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