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Simplifying 4 + 3(x + y) = 2x + 8 4 + (x * 3 + y * 3) = 2x + 8 4 + (3x + 3y) = 2x + 8 Reorder the terms: 4 + 3x + 3y = 8 + 2x Solving 4 + 3x + 3y = 8 + 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. 4 + 3x + -2x + 3y = 8 + 2x + -2x Combine like terms: 3x + -2x = 1x 4 + 1x + 3y = 8 + 2x + -2x Combine like terms: 2x + -2x = 0 4 + 1x + 3y = 8 + 0 4 + 1x + 3y = 8 Add '-4' to each side of the equation. 4 + 1x + -4 + 3y = 8 + -4 Reorder the terms: 4 + -4 + 1x + 3y = 8 + -4 Combine like terms: 4 + -4 = 0 0 + 1x + 3y = 8 + -4 1x + 3y = 8 + -4 Combine like terms: 8 + -4 = 4 1x + 3y = 4 Add '-3y' to each side of the equation. 1x + 3y + -3y = 4 + -3y Combine like terms: 3y + -3y = 0 1x + 0 = 4 + -3y 1x = 4 + -3y Divide each side by '1'. x = 4 + -3y Simplifying x = 4 + -3y
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