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Simplifying 7.7(x + -2) = -0.3x + 48.6 Reorder the terms: 7.7(-2 + x) = -0.3x + 48.6 (-2 * 7.7 + x * 7.7) = -0.3x + 48.6 (-15.4 + 7.7x) = -0.3x + 48.6 Reorder the terms: -15.4 + 7.7x = 48.6 + -0.3x Solving -15.4 + 7.7x = 48.6 + -0.3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.3x' to each side of the equation. -15.4 + 7.7x + 0.3x = 48.6 + -0.3x + 0.3x Combine like terms: 7.7x + 0.3x = 8x -15.4 + 8x = 48.6 + -0.3x + 0.3x Combine like terms: -0.3x + 0.3x = 0.0 -15.4 + 8x = 48.6 + 0.0 -15.4 + 8x = 48.6 Add '15.4' to each side of the equation. -15.4 + 15.4 + 8x = 48.6 + 15.4 Combine like terms: -15.4 + 15.4 = 0.0 0.0 + 8x = 48.6 + 15.4 8x = 48.6 + 15.4 Combine like terms: 48.6 + 15.4 = 64 8x = 64 Divide each side by '8'. x = 8 Simplifying x = 8
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