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Simplifying 7.6(x + -4) = -0.4x + 33.6 Reorder the terms: 7.6(-4 + x) = -0.4x + 33.6 (-4 * 7.6 + x * 7.6) = -0.4x + 33.6 (-30.4 + 7.6x) = -0.4x + 33.6 Reorder the terms: -30.4 + 7.6x = 33.6 + -0.4x Solving -30.4 + 7.6x = 33.6 + -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. -30.4 + 7.6x + 0.4x = 33.6 + -0.4x + 0.4x Combine like terms: 7.6x + 0.4x = 8x -30.4 + 8x = 33.6 + -0.4x + 0.4x Combine like terms: -0.4x + 0.4x = 0.0 -30.4 + 8x = 33.6 + 0.0 -30.4 + 8x = 33.6 Add '30.4' to each side of the equation. -30.4 + 30.4 + 8x = 33.6 + 30.4 Combine like terms: -30.4 + 30.4 = 0.0 0.0 + 8x = 33.6 + 30.4 8x = 33.6 + 30.4 Combine like terms: 33.6 + 30.4 = 64 8x = 64 Divide each side by '8'. x = 8 Simplifying x = 8
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