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Simplifying X + 4(x + -2) = 3x + 2(x + -4) Reorder the terms: X + 4(-2 + x) = 3x + 2(x + -4) X + (-2 * 4 + x * 4) = 3x + 2(x + -4) X + (-8 + 4x) = 3x + 2(x + -4) Reorder the terms: -8 + X + 4x = 3x + 2(x + -4) Reorder the terms: -8 + X + 4x = 3x + 2(-4 + x) -8 + X + 4x = 3x + (-4 * 2 + x * 2) -8 + X + 4x = 3x + (-8 + 2x) Reorder the terms: -8 + X + 4x = -8 + 3x + 2x Combine like terms: 3x + 2x = 5x -8 + X + 4x = -8 + 5x Add '8' to each side of the equation. -8 + X + 8 + 4x = -8 + 8 + 5x Reorder the terms: -8 + 8 + X + 4x = -8 + 8 + 5x Combine like terms: -8 + 8 = 0 0 + X + 4x = -8 + 8 + 5x X + 4x = -8 + 8 + 5x Combine like terms: -8 + 8 = 0 X + 4x = 0 + 5x X + 4x = 5x Solving X + 4x = 5x Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-4x' to each side of the equation. X + 4x + -4x = 5x + -4x Combine like terms: 4x + -4x = 0 X + 0 = 5x + -4x X = 5x + -4x Combine like terms: 5x + -4x = 1x X = 1x Simplifying X = 1x
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