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Simplifying 3(0.3x + 0.4) + -0.2 = 0.2(2x + 0.25) Reorder the terms: 3(0.4 + 0.3x) + -0.2 = 0.2(2x + 0.25) (0.4 * 3 + 0.3x * 3) + -0.2 = 0.2(2x + 0.25) (1.2 + 0.9x) + -0.2 = 0.2(2x + 0.25) Reorder the terms: 1.2 + -0.2 + 0.9x = 0.2(2x + 0.25) Combine like terms: 1.2 + -0.2 = 1 1 + 0.9x = 0.2(2x + 0.25) Reorder the terms: 1 + 0.9x = 0.2(0.25 + 2x) 1 + 0.9x = (0.25 * 0.2 + 2x * 0.2) 1 + 0.9x = (0.05 + 0.4x) Solving 1 + 0.9x = 0.05 + 0.4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.4x' to each side of the equation. 1 + 0.9x + -0.4x = 0.05 + 0.4x + -0.4x Combine like terms: 0.9x + -0.4x = 0.5x 1 + 0.5x = 0.05 + 0.4x + -0.4x Combine like terms: 0.4x + -0.4x = 0.0 1 + 0.5x = 0.05 + 0.0 1 + 0.5x = 0.05 Add '-1' to each side of the equation. 1 + -1 + 0.5x = 0.05 + -1 Combine like terms: 1 + -1 = 0 0 + 0.5x = 0.05 + -1 0.5x = 0.05 + -1 Combine like terms: 0.05 + -1 = -0.95 0.5x = -0.95 Divide each side by '0.5'. x = -1.9 Simplifying x = -1.9
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