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Simplifying 3x + -8 = x + 4(x + -2) Reorder the terms: -8 + 3x = x + 4(x + -2) Reorder the terms: -8 + 3x = x + 4(-2 + x) -8 + 3x = x + (-2 * 4 + x * 4) -8 + 3x = x + (-8 + 4x) Reorder the terms: -8 + 3x = -8 + x + 4x Combine like terms: x + 4x = 5x -8 + 3x = -8 + 5x Add '8' to each side of the equation. -8 + 8 + 3x = -8 + 8 + 5x Combine like terms: -8 + 8 = 0 0 + 3x = -8 + 8 + 5x 3x = -8 + 8 + 5x Combine like terms: -8 + 8 = 0 3x = 0 + 5x 3x = 5x Solving 3x = 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. 3x + -5x = 5x + -5x Combine like terms: 3x + -5x = -2x -2x = 5x + -5x Combine like terms: 5x + -5x = 0 -2x = 0 Divide each side by '-2'. x = 0 Simplifying x = 0
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