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Simplifying 2(4x + -4.2) = 9x + -8.4 Reorder the terms: 2(-4.2 + 4x) = 9x + -8.4 (-4.2 * 2 + 4x * 2) = 9x + -8.4 (-8.4 + 8x) = 9x + -8.4 Reorder the terms: -8.4 + 8x = -8.4 + 9x Add '8.4' to each side of the equation. -8.4 + 8.4 + 8x = -8.4 + 8.4 + 9x Combine like terms: -8.4 + 8.4 = 0.0 0.0 + 8x = -8.4 + 8.4 + 9x 8x = -8.4 + 8.4 + 9x Combine like terms: -8.4 + 8.4 = 0.0 8x = 0.0 + 9x 8x = 9x Solving 8x = 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 8x + -9x = 9x + -9x Combine like terms: 8x + -9x = -1x -1x = 9x + -9x Combine like terms: 9x + -9x = 0 -1x = 0 Divide each side by '-1'. x = 0 Simplifying x = 0
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