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Simplifying -33 = 5(-2x + 6) + 7x Reorder the terms: -33 = 5(6 + -2x) + 7x -33 = (6 * 5 + -2x * 5) + 7x -33 = (30 + -10x) + 7x Combine like terms: -10x + 7x = -3x -33 = 30 + -3x Solving -33 = 30 + -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 = 30 + -3x + 3x Combine like terms: -3x + 3x = 0 -33 + 3x = 30 + 0 -33 + 3x = 30 Add '33' to each side of the equation. -33 + 33 + 3x = 30 + 33 Combine like terms: -33 + 33 = 0 0 + 3x = 30 + 33 3x = 30 + 33 Combine like terms: 30 + 33 = 63 3x = 63 Divide each side by '3'. x = 21 Simplifying x = 21
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