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Simplifying -0.4(x + -12.7) = -0.2x + 11.65 Reorder the terms: -0.4(-12.7 + x) = -0.2x + 11.65 (-12.7 * -0.4 + x * -0.4) = -0.2x + 11.65 (5.08 + -0.4x) = -0.2x + 11.65 Reorder the terms: 5.08 + -0.4x = 11.65 + -0.2x Solving 5.08 + -0.4x = 11.65 + -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. 5.08 + -0.4x + 0.2x = 11.65 + -0.2x + 0.2x Combine like terms: -0.4x + 0.2x = -0.2x 5.08 + -0.2x = 11.65 + -0.2x + 0.2x Combine like terms: -0.2x + 0.2x = 0.0 5.08 + -0.2x = 11.65 + 0.0 5.08 + -0.2x = 11.65 Add '-5.08' to each side of the equation. 5.08 + -5.08 + -0.2x = 11.65 + -5.08 Combine like terms: 5.08 + -5.08 = 0.00 0.00 + -0.2x = 11.65 + -5.08 -0.2x = 11.65 + -5.08 Combine like terms: 11.65 + -5.08 = 6.57 -0.2x = 6.57 Divide each side by '-0.2'. x = -32.85 Simplifying x = -32.85
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