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Simplifying 0.04x + 13 = 0.4x + -8.6 Reorder the terms: 13 + 0.04x = 0.4x + -8.6 Reorder the terms: 13 + 0.04x = -8.6 + 0.4x Solving 13 + 0.04x = -8.6 + 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. 13 + 0.04x + -0.4x = -8.6 + 0.4x + -0.4x Combine like terms: 0.04x + -0.4x = -0.36x 13 + -0.36x = -8.6 + 0.4x + -0.4x Combine like terms: 0.4x + -0.4x = 0.0 13 + -0.36x = -8.6 + 0.0 13 + -0.36x = -8.6 Add '-13' to each side of the equation. 13 + -13 + -0.36x = -8.6 + -13 Combine like terms: 13 + -13 = 0 0 + -0.36x = -8.6 + -13 -0.36x = -8.6 + -13 Combine like terms: -8.6 + -13 = -21.6 -0.36x = -21.6 Divide each side by '-0.36'. x = 60 Simplifying x = 60
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