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