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Simplifying 2.5(x + 6) = 10.1 + 1.8x Reorder the terms: 2.5(6 + x) = 10.1 + 1.8x (6 * 2.5 + x * 2.5) = 10.1 + 1.8x (15 + 2.5x) = 10.1 + 1.8x Solving 15 + 2.5x = 10.1 + 1.8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.8x' to each side of the equation. 15 + 2.5x + -1.8x = 10.1 + 1.8x + -1.8x Combine like terms: 2.5x + -1.8x = 0.7x 15 + 0.7x = 10.1 + 1.8x + -1.8x Combine like terms: 1.8x + -1.8x = 0.0 15 + 0.7x = 10.1 + 0.0 15 + 0.7x = 10.1 Add '-15' to each side of the equation. 15 + -15 + 0.7x = 10.1 + -15 Combine like terms: 15 + -15 = 0 0 + 0.7x = 10.1 + -15 0.7x = 10.1 + -15 Combine like terms: 10.1 + -15 = -4.9 0.7x = -4.9 Divide each side by '0.7'. x = -7 Simplifying x = -7
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