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Simplifying 0.1x + -0.12 = 0.4x + 0.03 Reorder the terms: -0.12 + 0.1x = 0.4x + 0.03 Reorder the terms: -0.12 + 0.1x = 0.03 + 0.4x Solving -0.12 + 0.1x = 0.03 + 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. -0.12 + 0.1x + -0.4x = 0.03 + 0.4x + -0.4x Combine like terms: 0.1x + -0.4x = -0.3x -0.12 + -0.3x = 0.03 + 0.4x + -0.4x Combine like terms: 0.4x + -0.4x = 0.0 -0.12 + -0.3x = 0.03 + 0.0 -0.12 + -0.3x = 0.03 Add '0.12' to each side of the equation. -0.12 + 0.12 + -0.3x = 0.03 + 0.12 Combine like terms: -0.12 + 0.12 = 0.00 0.00 + -0.3x = 0.03 + 0.12 -0.3x = 0.03 + 0.12 Combine like terms: 0.03 + 0.12 = 0.15 -0.3x = 0.15 Divide each side by '-0.3'. x = -0.5 Simplifying x = -0.5
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