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Simplifying 2.5(x + 6) = 9.0 + 1.9x Reorder the terms: 2.5(6 + x) = 9.0 + 1.9x (6 * 2.5 + x * 2.5) = 9.0 + 1.9x (15 + 2.5x) = 9.0 + 1.9x Solving 15 + 2.5x = 9.0 + 1.9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.9x' to each side of the equation. 15 + 2.5x + -1.9x = 9.0 + 1.9x + -1.9x Combine like terms: 2.5x + -1.9x = 0.6x 15 + 0.6x = 9.0 + 1.9x + -1.9x Combine like terms: 1.9x + -1.9x = 0.0 15 + 0.6x = 9.0 + 0.0 15 + 0.6x = 9.0 Add '-15' to each side of the equation. 15 + -15 + 0.6x = 9.0 + -15 Combine like terms: 15 + -15 = 0 0 + 0.6x = 9.0 + -15 0.6x = 9.0 + -15 Combine like terms: 9.0 + -15 = -6 0.6x = -6 Divide each side by '0.6'. x = -10 Simplifying x = -10
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