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Simplifying 5.6(x + -3) = -0.4x + 19.2 Reorder the terms: 5.6(-3 + x) = -0.4x + 19.2 (-3 * 5.6 + x * 5.6) = -0.4x + 19.2 (-16.8 + 5.6x) = -0.4x + 19.2 Reorder the terms: -16.8 + 5.6x = 19.2 + -0.4x Solving -16.8 + 5.6x = 19.2 + -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. -16.8 + 5.6x + 0.4x = 19.2 + -0.4x + 0.4x Combine like terms: 5.6x + 0.4x = 6x -16.8 + 6x = 19.2 + -0.4x + 0.4x Combine like terms: -0.4x + 0.4x = 0.0 -16.8 + 6x = 19.2 + 0.0 -16.8 + 6x = 19.2 Add '16.8' to each side of the equation. -16.8 + 16.8 + 6x = 19.2 + 16.8 Combine like terms: -16.8 + 16.8 = 0.0 0.0 + 6x = 19.2 + 16.8 6x = 19.2 + 16.8 Combine like terms: 19.2 + 16.8 = 36 6x = 36 Divide each side by '6'. x = 6 Simplifying x = 6
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