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Simplifying 5.2x + 3.4x = 0.2(x + -0.42) Combine like terms: 5.2x + 3.4x = 8.6x 8.6x = 0.2(x + -0.42) Reorder the terms: 8.6x = 0.2(-0.42 + x) 8.6x = (-0.42 * 0.2 + x * 0.2) 8.6x = (-0.084 + 0.2x) Solving 8.6x = -0.084 + 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. 8.6x + -0.2x = -0.084 + 0.2x + -0.2x Combine like terms: 8.6x + -0.2x = 8.4x 8.4x = -0.084 + 0.2x + -0.2x Combine like terms: 0.2x + -0.2x = 0.0 8.4x = -0.084 + 0.0 8.4x = -0.084 Divide each side by '8.4'. x = -0.01 Simplifying x = -0.01
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