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Simplifying 10x + 3y + 2 = 4x + 8 Reorder the terms: 2 + 10x + 3y = 4x + 8 Reorder the terms: 2 + 10x + 3y = 8 + 4x Solving 2 + 10x + 3y = 8 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 2 + 10x + -4x + 3y = 8 + 4x + -4x Combine like terms: 10x + -4x = 6x 2 + 6x + 3y = 8 + 4x + -4x Combine like terms: 4x + -4x = 0 2 + 6x + 3y = 8 + 0 2 + 6x + 3y = 8 Add '-2' to each side of the equation. 2 + 6x + -2 + 3y = 8 + -2 Reorder the terms: 2 + -2 + 6x + 3y = 8 + -2 Combine like terms: 2 + -2 = 0 0 + 6x + 3y = 8 + -2 6x + 3y = 8 + -2 Combine like terms: 8 + -2 = 6 6x + 3y = 6 Add '-3y' to each side of the equation. 6x + 3y + -3y = 6 + -3y Combine like terms: 3y + -3y = 0 6x + 0 = 6 + -3y 6x = 6 + -3y Divide each side by '6'. x = 1 + -0.5y Simplifying x = 1 + -0.5y
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