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Simplifying 0.4x + 5 = -0.6x + -2 Reorder the terms: 5 + 0.4x = -0.6x + -2 Reorder the terms: 5 + 0.4x = -2 + -0.6x Solving 5 + 0.4x = -2 + -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. 5 + 0.4x + 0.6x = -2 + -0.6x + 0.6x Combine like terms: 0.4x + 0.6x = 1x 5 + 1x = -2 + -0.6x + 0.6x Combine like terms: -0.6x + 0.6x = 0.0 5 + 1x = -2 + 0.0 5 + 1x = -2 Add '-5' to each side of the equation. 5 + -5 + 1x = -2 + -5 Combine like terms: 5 + -5 = 0 0 + 1x = -2 + -5 1x = -2 + -5 Combine like terms: -2 + -5 = -7 1x = -7 Divide each side by '1'. x = -7 Simplifying x = -7
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