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Simplifying 7(3.2x + 9.4) = 4.4(3.5x + 4.5) + -0.2 Reorder the terms: 7(9.4 + 3.2x) = 4.4(3.5x + 4.5) + -0.2 (9.4 * 7 + 3.2x * 7) = 4.4(3.5x + 4.5) + -0.2 (65.8 + 22.4x) = 4.4(3.5x + 4.5) + -0.2 Reorder the terms: 65.8 + 22.4x = 4.4(4.5 + 3.5x) + -0.2 65.8 + 22.4x = (4.5 * 4.4 + 3.5x * 4.4) + -0.2 65.8 + 22.4x = (19.8 + 15.4x) + -0.2 Reorder the terms: 65.8 + 22.4x = 19.8 + -0.2 + 15.4x Combine like terms: 19.8 + -0.2 = 19.6 65.8 + 22.4x = 19.6 + 15.4x Solving 65.8 + 22.4x = 19.6 + 15.4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15.4x' to each side of the equation. 65.8 + 22.4x + -15.4x = 19.6 + 15.4x + -15.4x Combine like terms: 22.4x + -15.4x = 7x 65.8 + 7x = 19.6 + 15.4x + -15.4x Combine like terms: 15.4x + -15.4x = 0.0 65.8 + 7x = 19.6 + 0.0 65.8 + 7x = 19.6 Add '-65.8' to each side of the equation. 65.8 + -65.8 + 7x = 19.6 + -65.8 Combine like terms: 65.8 + -65.8 = 0.0 0.0 + 7x = 19.6 + -65.8 7x = 19.6 + -65.8 Combine like terms: 19.6 + -65.8 = -46.2 7x = -46.2 Divide each side by '7'. x = -6.6 Simplifying x = -6.6
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