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Simplifying 0.4x + -5 = 0.6(x + 7) Reorder the terms: -5 + 0.4x = 0.6(x + 7) Reorder the terms: -5 + 0.4x = 0.6(7 + x) -5 + 0.4x = (7 * 0.6 + x * 0.6) -5 + 0.4x = (4.2 + 0.6x) Solving -5 + 0.4x = 4.2 + 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 = 4.2 + 0.6x + -0.6x Combine like terms: 0.4x + -0.6x = -0.2x -5 + -0.2x = 4.2 + 0.6x + -0.6x Combine like terms: 0.6x + -0.6x = 0.0 -5 + -0.2x = 4.2 + 0.0 -5 + -0.2x = 4.2 Add '5' to each side of the equation. -5 + 5 + -0.2x = 4.2 + 5 Combine like terms: -5 + 5 = 0 0 + -0.2x = 4.2 + 5 -0.2x = 4.2 + 5 Combine like terms: 4.2 + 5 = 9.2 -0.2x = 9.2 Divide each side by '-0.2'. x = -46 Simplifying x = -46
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