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Simplifying 0.04(6x + -1) = 0.2x + 5 Reorder the terms: 0.04(-1 + 6x) = 0.2x + 5 (-1 * 0.04 + 6x * 0.04) = 0.2x + 5 (-0.04 + 0.24x) = 0.2x + 5 Reorder the terms: -0.04 + 0.24x = 5 + 0.2x Solving -0.04 + 0.24x = 5 + 0.2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.2x' to each side of the equation. -0.04 + 0.24x + -0.2x = 5 + 0.2x + -0.2x Combine like terms: 0.24x + -0.2x = 0.04x -0.04 + 0.04x = 5 + 0.2x + -0.2x Combine like terms: 0.2x + -0.2x = 0.0 -0.04 + 0.04x = 5 + 0.0 -0.04 + 0.04x = 5 Add '0.04' to each side of the equation. -0.04 + 0.04 + 0.04x = 5 + 0.04 Combine like terms: -0.04 + 0.04 = 0.00 0.00 + 0.04x = 5 + 0.04 0.04x = 5 + 0.04 Combine like terms: 5 + 0.04 = 5.04 0.04x = 5.04 Divide each side by '0.04'. x = 126 Simplifying x = 126
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