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Simplifying -0.2x + 0.15 = 0.3(x + 3) Reorder the terms: 0.15 + -0.2x = 0.3(x + 3) Reorder the terms: 0.15 + -0.2x = 0.3(3 + x) 0.15 + -0.2x = (3 * 0.3 + x * 0.3) 0.15 + -0.2x = (0.9 + 0.3x) Solving 0.15 + -0.2x = 0.9 + 0.3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.3x' to each side of the equation. 0.15 + -0.2x + -0.3x = 0.9 + 0.3x + -0.3x Combine like terms: -0.2x + -0.3x = -0.5x 0.15 + -0.5x = 0.9 + 0.3x + -0.3x Combine like terms: 0.3x + -0.3x = 0.0 0.15 + -0.5x = 0.9 + 0.0 0.15 + -0.5x = 0.9 Add '-0.15' to each side of the equation. 0.15 + -0.15 + -0.5x = 0.9 + -0.15 Combine like terms: 0.15 + -0.15 = 0.00 0.00 + -0.5x = 0.9 + -0.15 -0.5x = 0.9 + -0.15 Combine like terms: 0.9 + -0.15 = 0.75 -0.5x = 0.75 Divide each side by '-0.5'. x = -1.5 Simplifying x = -1.5
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