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Simplifying 3y + -9 + x + 33 = 5x + 30 + -3x Reorder the terms: -9 + 33 + x + 3y = 5x + 30 + -3x Combine like terms: -9 + 33 = 24 24 + x + 3y = 5x + 30 + -3x Reorder the terms: 24 + x + 3y = 30 + 5x + -3x Combine like terms: 5x + -3x = 2x 24 + x + 3y = 30 + 2x Solving 24 + x + 3y = 30 + 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. 24 + x + -2x + 3y = 30 + 2x + -2x Combine like terms: x + -2x = -1x 24 + -1x + 3y = 30 + 2x + -2x Combine like terms: 2x + -2x = 0 24 + -1x + 3y = 30 + 0 24 + -1x + 3y = 30 Add '-24' to each side of the equation. 24 + -1x + -24 + 3y = 30 + -24 Reorder the terms: 24 + -24 + -1x + 3y = 30 + -24 Combine like terms: 24 + -24 = 0 0 + -1x + 3y = 30 + -24 -1x + 3y = 30 + -24 Combine like terms: 30 + -24 = 6 -1x + 3y = 6 Add '-3y' to each side of the equation. -1x + 3y + -3y = 6 + -3y Combine like terms: 3y + -3y = 0 -1x + 0 = 6 + -3y -1x = 6 + -3y Divide each side by '-1'. x = -6 + 3y Simplifying x = -6 + 3y
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