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Simplifying 4(x + 2) + 3y = 3(y + -2) + 2x Reorder the terms: 4(2 + x) + 3y = 3(y + -2) + 2x (2 * 4 + x * 4) + 3y = 3(y + -2) + 2x (8 + 4x) + 3y = 3(y + -2) + 2x Reorder the terms: 8 + 4x + 3y = 3(-2 + y) + 2x 8 + 4x + 3y = (-2 * 3 + y * 3) + 2x 8 + 4x + 3y = (-6 + 3y) + 2x Reorder the terms: 8 + 4x + 3y = -6 + 2x + 3y Add '-3y' to each side of the equation. 8 + 4x + 3y + -3y = -6 + 2x + 3y + -3y Combine like terms: 3y + -3y = 0 8 + 4x + 0 = -6 + 2x + 3y + -3y 8 + 4x = -6 + 2x + 3y + -3y Combine like terms: 3y + -3y = 0 8 + 4x = -6 + 2x + 0 8 + 4x = -6 + 2x Solving 8 + 4x = -6 + 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. 8 + 4x + -2x = -6 + 2x + -2x Combine like terms: 4x + -2x = 2x 8 + 2x = -6 + 2x + -2x Combine like terms: 2x + -2x = 0 8 + 2x = -6 + 0 8 + 2x = -6 Add '-8' to each side of the equation. 8 + -8 + 2x = -6 + -8 Combine like terms: 8 + -8 = 0 0 + 2x = -6 + -8 2x = -6 + -8 Combine like terms: -6 + -8 = -14 2x = -14 Divide each side by '2'. x = -7 Simplifying x = -7
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