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Simplifying 5(0.4 + 0.3x) + 0.4x = 0.5(x + 4) (0.4 * 5 + 0.3x * 5) + 0.4x = 0.5(x + 4) (2 + 1.5x) + 0.4x = 0.5(x + 4) Combine like terms: 1.5x + 0.4x = 1.9x 2 + 1.9x = 0.5(x + 4) Reorder the terms: 2 + 1.9x = 0.5(4 + x) 2 + 1.9x = (4 * 0.5 + x * 0.5) 2 + 1.9x = (2 + 0.5x) Add '-2' to each side of the equation. 2 + -2 + 1.9x = 2 + -2 + 0.5x Combine like terms: 2 + -2 = 0 0 + 1.9x = 2 + -2 + 0.5x 1.9x = 2 + -2 + 0.5x Combine like terms: 2 + -2 = 0 1.9x = 0 + 0.5x 1.9x = 0.5x Solving 1.9x = 0.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.5x' to each side of the equation. 1.9x + -0.5x = 0.5x + -0.5x Combine like terms: 1.9x + -0.5x = 1.4x 1.4x = 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 1.4x = 0.0 Divide each side by '1.4'. x = 0 Simplifying x = 0
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