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Simplifying 2.5(x + 4) = 4.1x + 16 Reorder the terms: 2.5(4 + x) = 4.1x + 16 (4 * 2.5 + x * 2.5) = 4.1x + 16 (10 + 2.5x) = 4.1x + 16 Reorder the terms: 10 + 2.5x = 16 + 4.1x Solving 10 + 2.5x = 16 + 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. 10 + 2.5x + -4.1x = 16 + 4.1x + -4.1x Combine like terms: 2.5x + -4.1x = -1.6x 10 + -1.6x = 16 + 4.1x + -4.1x Combine like terms: 4.1x + -4.1x = 0.0 10 + -1.6x = 16 + 0.0 10 + -1.6x = 16 Add '-10' to each side of the equation. 10 + -10 + -1.6x = 16 + -10 Combine like terms: 10 + -10 = 0 0 + -1.6x = 16 + -10 -1.6x = 16 + -10 Combine like terms: 16 + -10 = 6 -1.6x = 6 Divide each side by '-1.6'. x = -3.75 Simplifying x = -3.75
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