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Simplifying 0.4x + 14 = 0.6x + -1 Reorder the terms: 14 + 0.4x = 0.6x + -1 Reorder the terms: 14 + 0.4x = -1 + 0.6x Solving 14 + 0.4x = -1 + 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. 14 + 0.4x + -0.6x = -1 + 0.6x + -0.6x Combine like terms: 0.4x + -0.6x = -0.2x 14 + -0.2x = -1 + 0.6x + -0.6x Combine like terms: 0.6x + -0.6x = 0.0 14 + -0.2x = -1 + 0.0 14 + -0.2x = -1 Add '-14' to each side of the equation. 14 + -14 + -0.2x = -1 + -14 Combine like terms: 14 + -14 = 0 0 + -0.2x = -1 + -14 -0.2x = -1 + -14 Combine like terms: -1 + -14 = -15 -0.2x = -15 Divide each side by '-0.2'. x = 75 Simplifying x = 75
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