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Simplifying 2x + -2(4 + -8x) = 4x + -4(2 + -6x) 2x + (4 * -2 + -8x * -2) = 4x + -4(2 + -6x) 2x + (-8 + 16x) = 4x + -4(2 + -6x) Reorder the terms: -8 + 2x + 16x = 4x + -4(2 + -6x) Combine like terms: 2x + 16x = 18x -8 + 18x = 4x + -4(2 + -6x) -8 + 18x = 4x + (2 * -4 + -6x * -4) -8 + 18x = 4x + (-8 + 24x) Reorder the terms: -8 + 18x = -8 + 4x + 24x Combine like terms: 4x + 24x = 28x -8 + 18x = -8 + 28x Add '8' to each side of the equation. -8 + 8 + 18x = -8 + 8 + 28x Combine like terms: -8 + 8 = 0 0 + 18x = -8 + 8 + 28x 18x = -8 + 8 + 28x Combine like terms: -8 + 8 = 0 18x = 0 + 28x 18x = 28x Solving 18x = 28x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-28x' to each side of the equation. 18x + -28x = 28x + -28x Combine like terms: 18x + -28x = -10x -10x = 28x + -28x Combine like terms: 28x + -28x = 0 -10x = 0 Divide each side by '-10'. x = 0.0 Simplifying x = 0.0
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