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Simplifying 2.5(x + 6) = 6 + 1.6x Reorder the terms: 2.5(6 + x) = 6 + 1.6x (6 * 2.5 + x * 2.5) = 6 + 1.6x (15 + 2.5x) = 6 + 1.6x Solving 15 + 2.5x = 6 + 1.6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.6x' to each side of the equation. 15 + 2.5x + -1.6x = 6 + 1.6x + -1.6x Combine like terms: 2.5x + -1.6x = 0.9x 15 + 0.9x = 6 + 1.6x + -1.6x Combine like terms: 1.6x + -1.6x = 0.0 15 + 0.9x = 6 + 0.0 15 + 0.9x = 6 Add '-15' to each side of the equation. 15 + -15 + 0.9x = 6 + -15 Combine like terms: 15 + -15 = 0 0 + 0.9x = 6 + -15 0.9x = 6 + -15 Combine like terms: 6 + -15 = -9 0.9x = -9 Divide each side by '0.9'. x = -10 Simplifying x = -10
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