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Simplifying 0.4(x + 7) = 0.6 + -4.2 Reorder the terms: 0.4(7 + x) = 0.6 + -4.2 (7 * 0.4 + x * 0.4) = 0.6 + -4.2 (2.8 + 0.4x) = 0.6 + -4.2 Combine like terms: 0.6 + -4.2 = -3.6 2.8 + 0.4x = -3.6 Solving 2.8 + 0.4x = -3.6 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2.8' to each side of the equation. 2.8 + -2.8 + 0.4x = -3.6 + -2.8 Combine like terms: 2.8 + -2.8 = 0.0 0.0 + 0.4x = -3.6 + -2.8 0.4x = -3.6 + -2.8 Combine like terms: -3.6 + -2.8 = -6.4 0.4x = -6.4 Divide each side by '0.4'. x = -16 Simplifying x = -16
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