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Simplifying 0.6(x + -5) = 0.4x + -12 Reorder the terms: 0.6(-5 + x) = 0.4x + -12 (-5 * 0.6 + x * 0.6) = 0.4x + -12 (-3 + 0.6x) = 0.4x + -12 Reorder the terms: -3 + 0.6x = -12 + 0.4x Solving -3 + 0.6x = -12 + 0.4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.4x' to each side of the equation. -3 + 0.6x + -0.4x = -12 + 0.4x + -0.4x Combine like terms: 0.6x + -0.4x = 0.2x -3 + 0.2x = -12 + 0.4x + -0.4x Combine like terms: 0.4x + -0.4x = 0.0 -3 + 0.2x = -12 + 0.0 -3 + 0.2x = -12 Add '3' to each side of the equation. -3 + 3 + 0.2x = -12 + 3 Combine like terms: -3 + 3 = 0 0 + 0.2x = -12 + 3 0.2x = -12 + 3 Combine like terms: -12 + 3 = -9 0.2x = -9 Divide each side by '0.2'. x = -45 Simplifying x = -45
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