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Simplifying 0.6x + -1.5 = 0.2(x + 41) Reorder the terms: -1.5 + 0.6x = 0.2(x + 41) Reorder the terms: -1.5 + 0.6x = 0.2(41 + x) -1.5 + 0.6x = (41 * 0.2 + x * 0.2) -1.5 + 0.6x = (8.2 + 0.2x) Solving -1.5 + 0.6x = 8.2 + 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. -1.5 + 0.6x + -0.2x = 8.2 + 0.2x + -0.2x Combine like terms: 0.6x + -0.2x = 0.4x -1.5 + 0.4x = 8.2 + 0.2x + -0.2x Combine like terms: 0.2x + -0.2x = 0.0 -1.5 + 0.4x = 8.2 + 0.0 -1.5 + 0.4x = 8.2 Add '1.5' to each side of the equation. -1.5 + 1.5 + 0.4x = 8.2 + 1.5 Combine like terms: -1.5 + 1.5 = 0.0 0.0 + 0.4x = 8.2 + 1.5 0.4x = 8.2 + 1.5 Combine like terms: 8.2 + 1.5 = 9.7 0.4x = 9.7 Divide each side by '0.4'. x = 24.25 Simplifying x = 24.25
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