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Simplifying 0.4x + 8 = 0.6x + -7 Reorder the terms: 8 + 0.4x = 0.6x + -7 Reorder the terms: 8 + 0.4x = -7 + 0.6x Solving 8 + 0.4x = -7 + 0.6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.6x' to each side of the equation. 8 + 0.4x + -0.6x = -7 + 0.6x + -0.6x Combine like terms: 0.4x + -0.6x = -0.2x 8 + -0.2x = -7 + 0.6x + -0.6x Combine like terms: 0.6x + -0.6x = 0.0 8 + -0.2x = -7 + 0.0 8 + -0.2x = -7 Add '-8' to each side of the equation. 8 + -8 + -0.2x = -7 + -8 Combine like terms: 8 + -8 = 0 0 + -0.2x = -7 + -8 -0.2x = -7 + -8 Combine like terms: -7 + -8 = -15 -0.2x = -15 Divide each side by '-0.2'. x = 75 Simplifying x = 75
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