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Simplifying 7.6(x + -2) = -0.4x + 32.8 Reorder the terms: 7.6(-2 + x) = -0.4x + 32.8 (-2 * 7.6 + x * 7.6) = -0.4x + 32.8 (-15.2 + 7.6x) = -0.4x + 32.8 Reorder the terms: -15.2 + 7.6x = 32.8 + -0.4x Solving -15.2 + 7.6x = 32.8 + -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. -15.2 + 7.6x + 0.4x = 32.8 + -0.4x + 0.4x Combine like terms: 7.6x + 0.4x = 8x -15.2 + 8x = 32.8 + -0.4x + 0.4x Combine like terms: -0.4x + 0.4x = 0.0 -15.2 + 8x = 32.8 + 0.0 -15.2 + 8x = 32.8 Add '15.2' to each side of the equation. -15.2 + 15.2 + 8x = 32.8 + 15.2 Combine like terms: -15.2 + 15.2 = 0.0 0.0 + 8x = 32.8 + 15.2 8x = 32.8 + 15.2 Combine like terms: 32.8 + 15.2 = 48 8x = 48 Divide each side by '8'. x = 6 Simplifying x = 6
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