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Simplifying 4y + -3x + 5 + 33 + -2x + 3y = 2x + 7 Reorder the terms: 5 + 33 + -3x + -2x + 4y + 3y = 2x + 7 Combine like terms: 5 + 33 = 38 38 + -3x + -2x + 4y + 3y = 2x + 7 Combine like terms: -3x + -2x = -5x 38 + -5x + 4y + 3y = 2x + 7 Combine like terms: 4y + 3y = 7y 38 + -5x + 7y = 2x + 7 Reorder the terms: 38 + -5x + 7y = 7 + 2x Solving 38 + -5x + 7y = 7 + 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. 38 + -5x + -2x + 7y = 7 + 2x + -2x Combine like terms: -5x + -2x = -7x 38 + -7x + 7y = 7 + 2x + -2x Combine like terms: 2x + -2x = 0 38 + -7x + 7y = 7 + 0 38 + -7x + 7y = 7 Add '-38' to each side of the equation. 38 + -7x + -38 + 7y = 7 + -38 Reorder the terms: 38 + -38 + -7x + 7y = 7 + -38 Combine like terms: 38 + -38 = 0 0 + -7x + 7y = 7 + -38 -7x + 7y = 7 + -38 Combine like terms: 7 + -38 = -31 -7x + 7y = -31 Add '-7y' to each side of the equation. -7x + 7y + -7y = -31 + -7y Combine like terms: 7y + -7y = 0 -7x + 0 = -31 + -7y -7x = -31 + -7y Divide each side by '-7'. x = 4.428571429 + y Simplifying x = 4.428571429 + y
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