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