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Simplifying 3x + 2x + 2y + 4y + 3 + 4 = x + 10 Reorder the terms: 3 + 4 + 3x + 2x + 2y + 4y = x + 10 Combine like terms: 3 + 4 = 7 7 + 3x + 2x + 2y + 4y = x + 10 Combine like terms: 3x + 2x = 5x 7 + 5x + 2y + 4y = x + 10 Combine like terms: 2y + 4y = 6y 7 + 5x + 6y = x + 10 Reorder the terms: 7 + 5x + 6y = 10 + x Solving 7 + 5x + 6y = 10 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 7 + 5x + -1x + 6y = 10 + x + -1x Combine like terms: 5x + -1x = 4x 7 + 4x + 6y = 10 + x + -1x Combine like terms: x + -1x = 0 7 + 4x + 6y = 10 + 0 7 + 4x + 6y = 10 Add '-7' to each side of the equation. 7 + 4x + -7 + 6y = 10 + -7 Reorder the terms: 7 + -7 + 4x + 6y = 10 + -7 Combine like terms: 7 + -7 = 0 0 + 4x + 6y = 10 + -7 4x + 6y = 10 + -7 Combine like terms: 10 + -7 = 3 4x + 6y = 3 Add '-6y' to each side of the equation. 4x + 6y + -6y = 3 + -6y Combine like terms: 6y + -6y = 0 4x + 0 = 3 + -6y 4x = 3 + -6y Divide each side by '4'. x = 0.75 + -1.5y Simplifying x = 0.75 + -1.5y
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