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Simplifying 0.4 + -1.2 = 0.15x + 0.8 Combine like terms: 0.4 + -1.2 = -0.8 -0.8 = 0.15x + 0.8 Reorder the terms: -0.8 = 0.8 + 0.15x Solving -0.8 = 0.8 + 0.15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.15x' to each side of the equation. -0.8 + -0.15x = 0.8 + 0.15x + -0.15x Combine like terms: 0.15x + -0.15x = 0.00 -0.8 + -0.15x = 0.8 + 0.00 -0.8 + -0.15x = 0.8 Add '0.8' to each side of the equation. -0.8 + 0.8 + -0.15x = 0.8 + 0.8 Combine like terms: -0.8 + 0.8 = 0.0 0.0 + -0.15x = 0.8 + 0.8 -0.15x = 0.8 + 0.8 Combine like terms: 0.8 + 0.8 = 1.6 -0.15x = 1.6 Divide each side by '-0.15'. x = -10.66666667 Simplifying x = -10.66666667
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