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Simplifying 0.4(x + 1) = 5x + 11.9 Reorder the terms: 0.4(1 + x) = 5x + 11.9 (1 * 0.4 + x * 0.4) = 5x + 11.9 (0.4 + 0.4x) = 5x + 11.9 Reorder the terms: 0.4 + 0.4x = 11.9 + 5x Solving 0.4 + 0.4x = 11.9 + 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. 0.4 + 0.4x + -5x = 11.9 + 5x + -5x Combine like terms: 0.4x + -5x = -4.6x 0.4 + -4.6x = 11.9 + 5x + -5x Combine like terms: 5x + -5x = 0 0.4 + -4.6x = 11.9 + 0 0.4 + -4.6x = 11.9 Add '-0.4' to each side of the equation. 0.4 + -0.4 + -4.6x = 11.9 + -0.4 Combine like terms: 0.4 + -0.4 = 0.0 0.0 + -4.6x = 11.9 + -0.4 -4.6x = 11.9 + -0.4 Combine like terms: 11.9 + -0.4 = 11.5 -4.6x = 11.5 Divide each side by '-4.6'. x = -2.5 Simplifying x = -2.5
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