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Simplifying 4.0x + 2.7 + -9.6x = -4.6x + 2.7 Reorder the terms: 2.7 + 4.0x + -9.6x = -4.6x + 2.7 Combine like terms: 4.0x + -9.6x = -5.6x 2.7 + -5.6x = -4.6x + 2.7 Reorder the terms: 2.7 + -5.6x = 2.7 + -4.6x Add '-2.7' to each side of the equation. 2.7 + -2.7 + -5.6x = 2.7 + -2.7 + -4.6x Combine like terms: 2.7 + -2.7 = 0.0 0.0 + -5.6x = 2.7 + -2.7 + -4.6x -5.6x = 2.7 + -2.7 + -4.6x Combine like terms: 2.7 + -2.7 = 0.0 -5.6x = 0.0 + -4.6x -5.6x = -4.6x Solving -5.6x = -4.6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4.6x' to each side of the equation. -5.6x + 4.6x = -4.6x + 4.6x Combine like terms: -5.6x + 4.6x = -1x -1x = -4.6x + 4.6x Combine like terms: -4.6x + 4.6x = 0.0 -1x = 0.0 Divide each side by '-1'. x = 0.0 Simplifying x = 0.0
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