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Simplifying 0.9(-4 + -5) = 2.5x + 6 Combine like terms: -4 + -5 = -9 0.9(-9) = 2.5x + 6 Multiply 0.9 * -9 -8.1 = 2.5x + 6 Reorder the terms: -8.1 = 6 + 2.5x Solving -8.1 = 6 + 2.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2.5x' to each side of the equation. -8.1 + -2.5x = 6 + 2.5x + -2.5x Combine like terms: 2.5x + -2.5x = 0.0 -8.1 + -2.5x = 6 + 0.0 -8.1 + -2.5x = 6 Add '8.1' to each side of the equation. -8.1 + 8.1 + -2.5x = 6 + 8.1 Combine like terms: -8.1 + 8.1 = 0.0 0.0 + -2.5x = 6 + 8.1 -2.5x = 6 + 8.1 Combine like terms: 6 + 8.1 = 14.1 -2.5x = 14.1 Divide each side by '-2.5'. x = -5.64 Simplifying x = -5.64
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