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Simplifying 3.2 + -0.06x = 0.4(x + -2) Reorder the terms: 3.2 + -0.06x = 0.4(-2 + x) 3.2 + -0.06x = (-2 * 0.4 + x * 0.4) 3.2 + -0.06x = (-0.8 + 0.4x) Solving 3.2 + -0.06x = -0.8 + 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. 3.2 + -0.06x + -0.4x = -0.8 + 0.4x + -0.4x Combine like terms: -0.06x + -0.4x = -0.46x 3.2 + -0.46x = -0.8 + 0.4x + -0.4x Combine like terms: 0.4x + -0.4x = 0.0 3.2 + -0.46x = -0.8 + 0.0 3.2 + -0.46x = -0.8 Add '-3.2' to each side of the equation. 3.2 + -3.2 + -0.46x = -0.8 + -3.2 Combine like terms: 3.2 + -3.2 = 0.0 0.0 + -0.46x = -0.8 + -3.2 -0.46x = -0.8 + -3.2 Combine like terms: -0.8 + -3.2 = -4 -0.46x = -4 Divide each side by '-0.46'. x = 8.695652174 Simplifying x = 8.695652174
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