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Simplifying 7.6(x + -3) = -0.4x + 33.2 Reorder the terms: 7.6(-3 + x) = -0.4x + 33.2 (-3 * 7.6 + x * 7.6) = -0.4x + 33.2 (-22.8 + 7.6x) = -0.4x + 33.2 Reorder the terms: -22.8 + 7.6x = 33.2 + -0.4x Solving -22.8 + 7.6x = 33.2 + -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. -22.8 + 7.6x + 0.4x = 33.2 + -0.4x + 0.4x Combine like terms: 7.6x + 0.4x = 8x -22.8 + 8x = 33.2 + -0.4x + 0.4x Combine like terms: -0.4x + 0.4x = 0.0 -22.8 + 8x = 33.2 + 0.0 -22.8 + 8x = 33.2 Add '22.8' to each side of the equation. -22.8 + 22.8 + 8x = 33.2 + 22.8 Combine like terms: -22.8 + 22.8 = 0.0 0.0 + 8x = 33.2 + 22.8 8x = 33.2 + 22.8 Combine like terms: 33.2 + 22.8 = 56 8x = 56 Divide each side by '8'. x = 7 Simplifying x = 7
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