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Simplifying 0.4(2x + 0.5) = 3(2x + 0.6) + -4 Reorder the terms: 0.4(0.5 + 2x) = 3(2x + 0.6) + -4 (0.5 * 0.4 + 2x * 0.4) = 3(2x + 0.6) + -4 (0.2 + 0.8x) = 3(2x + 0.6) + -4 Reorder the terms: 0.2 + 0.8x = 3(0.6 + 2x) + -4 0.2 + 0.8x = (0.6 * 3 + 2x * 3) + -4 0.2 + 0.8x = (1.8 + 6x) + -4 Reorder the terms: 0.2 + 0.8x = 1.8 + -4 + 6x Combine like terms: 1.8 + -4 = -2.2 0.2 + 0.8x = -2.2 + 6x Solving 0.2 + 0.8x = -2.2 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 0.2 + 0.8x + -6x = -2.2 + 6x + -6x Combine like terms: 0.8x + -6x = -5.2x 0.2 + -5.2x = -2.2 + 6x + -6x Combine like terms: 6x + -6x = 0 0.2 + -5.2x = -2.2 + 0 0.2 + -5.2x = -2.2 Add '-0.2' to each side of the equation. 0.2 + -0.2 + -5.2x = -2.2 + -0.2 Combine like terms: 0.2 + -0.2 = 0.0 0.0 + -5.2x = -2.2 + -0.2 -5.2x = -2.2 + -0.2 Combine like terms: -2.2 + -0.2 = -2.4 -5.2x = -2.4 Divide each side by '-5.2'. x = 0.4615384615 Simplifying x = 0.4615384615
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