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Simplifying 0.4(x + 2) = 5x + 7.7 Reorder the terms: 0.4(2 + x) = 5x + 7.7 (2 * 0.4 + x * 0.4) = 5x + 7.7 (0.8 + 0.4x) = 5x + 7.7 Reorder the terms: 0.8 + 0.4x = 7.7 + 5x Solving 0.8 + 0.4x = 7.7 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 0.8 + 0.4x + -5x = 7.7 + 5x + -5x Combine like terms: 0.4x + -5x = -4.6x 0.8 + -4.6x = 7.7 + 5x + -5x Combine like terms: 5x + -5x = 0 0.8 + -4.6x = 7.7 + 0 0.8 + -4.6x = 7.7 Add '-0.8' to each side of the equation. 0.8 + -0.8 + -4.6x = 7.7 + -0.8 Combine like terms: 0.8 + -0.8 = 0.0 0.0 + -4.6x = 7.7 + -0.8 -4.6x = 7.7 + -0.8 Combine like terms: 7.7 + -0.8 = 6.9 -4.6x = 6.9 Divide each side by '-4.6'. x = -1.5 Simplifying x = -1.5
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