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Simplifying -5x + 30 = 2x + -33 Reorder the terms: 30 + -5x = 2x + -33 Reorder the terms: 30 + -5x = -33 + 2x Solving 30 + -5x = -33 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 30 + -5x + -2x = -33 + 2x + -2x Combine like terms: -5x + -2x = -7x 30 + -7x = -33 + 2x + -2x Combine like terms: 2x + -2x = 0 30 + -7x = -33 + 0 30 + -7x = -33 Add '-30' to each side of the equation. 30 + -30 + -7x = -33 + -30 Combine like terms: 30 + -30 = 0 0 + -7x = -33 + -30 -7x = -33 + -30 Combine like terms: -33 + -30 = -63 -7x = -63 Divide each side by '-7'. x = 9 Simplifying x = 9
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