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Simplifying x + -6x + 5.9 = -6.5(x + 4.4) Reorder the terms: 5.9 + x + -6x = -6.5(x + 4.4) Combine like terms: x + -6x = -5x 5.9 + -5x = -6.5(x + 4.4) Reorder the terms: 5.9 + -5x = -6.5(4.4 + x) 5.9 + -5x = (4.4 * -6.5 + x * -6.5) 5.9 + -5x = (-28.6 + -6.5x) Solving 5.9 + -5x = -28.6 + -6.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6.5x' to each side of the equation. 5.9 + -5x + 6.5x = -28.6 + -6.5x + 6.5x Combine like terms: -5x + 6.5x = 1.5x 5.9 + 1.5x = -28.6 + -6.5x + 6.5x Combine like terms: -6.5x + 6.5x = 0.0 5.9 + 1.5x = -28.6 + 0.0 5.9 + 1.5x = -28.6 Add '-5.9' to each side of the equation. 5.9 + -5.9 + 1.5x = -28.6 + -5.9 Combine like terms: 5.9 + -5.9 = 0.0 0.0 + 1.5x = -28.6 + -5.9 1.5x = -28.6 + -5.9 Combine like terms: -28.6 + -5.9 = -34.5 1.5x = -34.5 Divide each side by '1.5'. x = -23 Simplifying x = -23
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