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Simplifying 2.5(x + -3.4) = 4.1x Reorder the terms: 2.5(-3.4 + x) = 4.1x (-3.4 * 2.5 + x * 2.5) = 4.1x (-8.5 + 2.5x) = 4.1x Solving -8.5 + 2.5x = 4.1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4.1x' to each side of the equation. -8.5 + 2.5x + -4.1x = 4.1x + -4.1x Combine like terms: 2.5x + -4.1x = -1.6x -8.5 + -1.6x = 4.1x + -4.1x Combine like terms: 4.1x + -4.1x = 0.0 -8.5 + -1.6x = 0.0 Add '8.5' to each side of the equation. -8.5 + 8.5 + -1.6x = 0.0 + 8.5 Combine like terms: -8.5 + 8.5 = 0.0 0.0 + -1.6x = 0.0 + 8.5 -1.6x = 0.0 + 8.5 Combine like terms: 0.0 + 8.5 = 8.5 -1.6x = 8.5 Divide each side by '-1.6'. x = -5.3125 Simplifying x = -5.3125
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