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Simplifying 0.4x + -0.03 = 0.1(2x + -0.3) Reorder the terms: -0.03 + 0.4x = 0.1(2x + -0.3) Reorder the terms: -0.03 + 0.4x = 0.1(-0.3 + 2x) -0.03 + 0.4x = (-0.3 * 0.1 + 2x * 0.1) -0.03 + 0.4x = (-0.03 + 0.2x) Add '0.03' to each side of the equation. -0.03 + 0.03 + 0.4x = -0.03 + 0.03 + 0.2x Combine like terms: -0.03 + 0.03 = 0.00 0.00 + 0.4x = -0.03 + 0.03 + 0.2x 0.4x = -0.03 + 0.03 + 0.2x Combine like terms: -0.03 + 0.03 = 0.00 0.4x = 0.00 + 0.2x 0.4x = 0.2x Solving 0.4x = 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. 0.4x + -0.2x = 0.2x + -0.2x Combine like terms: 0.4x + -0.2x = 0.2x 0.2x = 0.2x + -0.2x Combine like terms: 0.2x + -0.2x = 0.0 0.2x = 0.0 Divide each side by '0.2'. x = 0 Simplifying x = 0
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