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Simplifying x + -0.9x + -2 = 6.5(x + 5.6) Reorder the terms: -2 + x + -0.9x = 6.5(x + 5.6) Combine like terms: x + -0.9x = 0.1x -2 + 0.1x = 6.5(x + 5.6) Reorder the terms: -2 + 0.1x = 6.5(5.6 + x) -2 + 0.1x = (5.6 * 6.5 + x * 6.5) -2 + 0.1x = (36.4 + 6.5x) Solving -2 + 0.1x = 36.4 + 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. -2 + 0.1x + -6.5x = 36.4 + 6.5x + -6.5x Combine like terms: 0.1x + -6.5x = -6.4x -2 + -6.4x = 36.4 + 6.5x + -6.5x Combine like terms: 6.5x + -6.5x = 0.0 -2 + -6.4x = 36.4 + 0.0 -2 + -6.4x = 36.4 Add '2' to each side of the equation. -2 + 2 + -6.4x = 36.4 + 2 Combine like terms: -2 + 2 = 0 0 + -6.4x = 36.4 + 2 -6.4x = 36.4 + 2 Combine like terms: 36.4 + 2 = 38.4 -6.4x = 38.4 Divide each side by '-6.4'. x = -6 Simplifying x = -6
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