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Simplifying 0.4(2x + 0.5) = 3(2x + 6) + -4 Reorder the terms: 0.4(0.5 + 2x) = 3(2x + 6) + -4 (0.5 * 0.4 + 2x * 0.4) = 3(2x + 6) + -4 (0.2 + 0.8x) = 3(2x + 6) + -4 Reorder the terms: 0.2 + 0.8x = 3(6 + 2x) + -4 0.2 + 0.8x = (6 * 3 + 2x * 3) + -4 0.2 + 0.8x = (18 + 6x) + -4 Reorder the terms: 0.2 + 0.8x = 18 + -4 + 6x Combine like terms: 18 + -4 = 14 0.2 + 0.8x = 14 + 6x Solving 0.2 + 0.8x = 14 + 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 = 14 + 6x + -6x Combine like terms: 0.8x + -6x = -5.2x 0.2 + -5.2x = 14 + 6x + -6x Combine like terms: 6x + -6x = 0 0.2 + -5.2x = 14 + 0 0.2 + -5.2x = 14 Add '-0.2' to each side of the equation. 0.2 + -0.2 + -5.2x = 14 + -0.2 Combine like terms: 0.2 + -0.2 = 0.0 0.0 + -5.2x = 14 + -0.2 -5.2x = 14 + -0.2 Combine like terms: 14 + -0.2 = 13.8 -5.2x = 13.8 Divide each side by '-5.2'. x = -2.653846154 Simplifying x = -2.653846154
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