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Simplifying 3x + 4(x + -2) = 5x + 8 Reorder the terms: 3x + 4(-2 + x) = 5x + 8 3x + (-2 * 4 + x * 4) = 5x + 8 3x + (-8 + 4x) = 5x + 8 Reorder the terms: -8 + 3x + 4x = 5x + 8 Combine like terms: 3x + 4x = 7x -8 + 7x = 5x + 8 Reorder the terms: -8 + 7x = 8 + 5x Solving -8 + 7x = 8 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -8 + 7x + -5x = 8 + 5x + -5x Combine like terms: 7x + -5x = 2x -8 + 2x = 8 + 5x + -5x Combine like terms: 5x + -5x = 0 -8 + 2x = 8 + 0 -8 + 2x = 8 Add '8' to each side of the equation. -8 + 8 + 2x = 8 + 8 Combine like terms: -8 + 8 = 0 0 + 2x = 8 + 8 2x = 8 + 8 Combine like terms: 8 + 8 = 16 2x = 16 Divide each side by '2'. x = 8 Simplifying x = 8
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