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Simplifying 0.4x + 1 = 0.6x + -6 Reorder the terms: 1 + 0.4x = 0.6x + -6 Reorder the terms: 1 + 0.4x = -6 + 0.6x Solving 1 + 0.4x = -6 + 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. 1 + 0.4x + -0.6x = -6 + 0.6x + -0.6x Combine like terms: 0.4x + -0.6x = -0.2x 1 + -0.2x = -6 + 0.6x + -0.6x Combine like terms: 0.6x + -0.6x = 0.0 1 + -0.2x = -6 + 0.0 1 + -0.2x = -6 Add '-1' to each side of the equation. 1 + -1 + -0.2x = -6 + -1 Combine like terms: 1 + -1 = 0 0 + -0.2x = -6 + -1 -0.2x = -6 + -1 Combine like terms: -6 + -1 = -7 -0.2x = -7 Divide each side by '-0.2'. x = 35 Simplifying x = 35
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