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Simplifying x + 4(x + -2) = 3x + 4 Reorder the terms: x + 4(-2 + x) = 3x + 4 x + (-2 * 4 + x * 4) = 3x + 4 x + (-8 + 4x) = 3x + 4 Reorder the terms: -8 + x + 4x = 3x + 4 Combine like terms: x + 4x = 5x -8 + 5x = 3x + 4 Reorder the terms: -8 + 5x = 4 + 3x Solving -8 + 5x = 4 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -8 + 5x + -3x = 4 + 3x + -3x Combine like terms: 5x + -3x = 2x -8 + 2x = 4 + 3x + -3x Combine like terms: 3x + -3x = 0 -8 + 2x = 4 + 0 -8 + 2x = 4 Add '8' to each side of the equation. -8 + 8 + 2x = 4 + 8 Combine like terms: -8 + 8 = 0 0 + 2x = 4 + 8 2x = 4 + 8 Combine like terms: 4 + 8 = 12 2x = 12 Divide each side by '2'. x = 6 Simplifying x = 6
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