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Simplifying 2(2x + -4.6) = 8x + -9.2 Reorder the terms: 2(-4.6 + 2x) = 8x + -9.2 (-4.6 * 2 + 2x * 2) = 8x + -9.2 (-9.2 + 4x) = 8x + -9.2 Reorder the terms: -9.2 + 4x = -9.2 + 8x Add '9.2' to each side of the equation. -9.2 + 9.2 + 4x = -9.2 + 9.2 + 8x Combine like terms: -9.2 + 9.2 = 0.0 0.0 + 4x = -9.2 + 9.2 + 8x 4x = -9.2 + 9.2 + 8x Combine like terms: -9.2 + 9.2 = 0.0 4x = 0.0 + 8x 4x = 8x Solving 4x = 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 4x + -8x = 8x + -8x Combine like terms: 4x + -8x = -4x -4x = 8x + -8x Combine like terms: 8x + -8x = 0 -4x = 0 Divide each side by '-4'. x = 0 Simplifying x = 0
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