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Simplifying 0.9(0.4x + 2.5) + -2.5 = -1.9(0.8x + 3.1) Reorder the terms: 0.9(2.5 + 0.4x) + -2.5 = -1.9(0.8x + 3.1) (2.5 * 0.9 + 0.4x * 0.9) + -2.5 = -1.9(0.8x + 3.1) (2.25 + 0.36x) + -2.5 = -1.9(0.8x + 3.1) Reorder the terms: 2.25 + -2.5 + 0.36x = -1.9(0.8x + 3.1) Combine like terms: 2.25 + -2.5 = -0.25 -0.25 + 0.36x = -1.9(0.8x + 3.1) Reorder the terms: -0.25 + 0.36x = -1.9(3.1 + 0.8x) -0.25 + 0.36x = (3.1 * -1.9 + 0.8x * -1.9) -0.25 + 0.36x = (-5.89 + -1.52x) Solving -0.25 + 0.36x = -5.89 + -1.52x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1.52x' to each side of the equation. -0.25 + 0.36x + 1.52x = -5.89 + -1.52x + 1.52x Combine like terms: 0.36x + 1.52x = 1.88x -0.25 + 1.88x = -5.89 + -1.52x + 1.52x Combine like terms: -1.52x + 1.52x = 0.00 -0.25 + 1.88x = -5.89 + 0.00 -0.25 + 1.88x = -5.89 Add '0.25' to each side of the equation. -0.25 + 0.25 + 1.88x = -5.89 + 0.25 Combine like terms: -0.25 + 0.25 = 0.00 0.00 + 1.88x = -5.89 + 0.25 1.88x = -5.89 + 0.25 Combine like terms: -5.89 + 0.25 = -5.64 1.88x = -5.64 Divide each side by '1.88'. x = -3 Simplifying x = -3
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