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Simplifying 0.29(x + 50) + -6 = 0.4(3x + 20) Reorder the terms: 0.29(50 + x) + -6 = 0.4(3x + 20) (50 * 0.29 + x * 0.29) + -6 = 0.4(3x + 20) (14.5 + 0.29x) + -6 = 0.4(3x + 20) Reorder the terms: 14.5 + -6 + 0.29x = 0.4(3x + 20) Combine like terms: 14.5 + -6 = 8.5 8.5 + 0.29x = 0.4(3x + 20) Reorder the terms: 8.5 + 0.29x = 0.4(20 + 3x) 8.5 + 0.29x = (20 * 0.4 + 3x * 0.4) 8.5 + 0.29x = (8 + 1.2x) Solving 8.5 + 0.29x = 8 + 1.2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.2x' to each side of the equation. 8.5 + 0.29x + -1.2x = 8 + 1.2x + -1.2x Combine like terms: 0.29x + -1.2x = -0.91x 8.5 + -0.91x = 8 + 1.2x + -1.2x Combine like terms: 1.2x + -1.2x = 0.0 8.5 + -0.91x = 8 + 0.0 8.5 + -0.91x = 8 Add '-8.5' to each side of the equation. 8.5 + -8.5 + -0.91x = 8 + -8.5 Combine like terms: 8.5 + -8.5 = 0.0 0.0 + -0.91x = 8 + -8.5 -0.91x = 8 + -8.5 Combine like terms: 8 + -8.5 = -0.5 -0.91x = -0.5 Divide each side by '-0.91'. x = 0.5494505495 Simplifying x = 0.5494505495
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