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Simplifying 7.6(x + -1) = -0.4x + 48.4 Reorder the terms: 7.6(-1 + x) = -0.4x + 48.4 (-1 * 7.6 + x * 7.6) = -0.4x + 48.4 (-7.6 + 7.6x) = -0.4x + 48.4 Reorder the terms: -7.6 + 7.6x = 48.4 + -0.4x Solving -7.6 + 7.6x = 48.4 + -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. -7.6 + 7.6x + 0.4x = 48.4 + -0.4x + 0.4x Combine like terms: 7.6x + 0.4x = 8x -7.6 + 8x = 48.4 + -0.4x + 0.4x Combine like terms: -0.4x + 0.4x = 0.0 -7.6 + 8x = 48.4 + 0.0 -7.6 + 8x = 48.4 Add '7.6' to each side of the equation. -7.6 + 7.6 + 8x = 48.4 + 7.6 Combine like terms: -7.6 + 7.6 = 0.0 0.0 + 8x = 48.4 + 7.6 8x = 48.4 + 7.6 Combine like terms: 48.4 + 7.6 = 56 8x = 56 Divide each side by '8'. x = 7 Simplifying x = 7
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