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Simplifying 7.7(x + -4) = -0.3x + 17.2 Reorder the terms: 7.7(-4 + x) = -0.3x + 17.2 (-4 * 7.7 + x * 7.7) = -0.3x + 17.2 (-30.8 + 7.7x) = -0.3x + 17.2 Reorder the terms: -30.8 + 7.7x = 17.2 + -0.3x Solving -30.8 + 7.7x = 17.2 + -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. -30.8 + 7.7x + 0.3x = 17.2 + -0.3x + 0.3x Combine like terms: 7.7x + 0.3x = 8x -30.8 + 8x = 17.2 + -0.3x + 0.3x Combine like terms: -0.3x + 0.3x = 0.0 -30.8 + 8x = 17.2 + 0.0 -30.8 + 8x = 17.2 Add '30.8' to each side of the equation. -30.8 + 30.8 + 8x = 17.2 + 30.8 Combine like terms: -30.8 + 30.8 = 0.0 0.0 + 8x = 17.2 + 30.8 8x = 17.2 + 30.8 Combine like terms: 17.2 + 30.8 = 48 8x = 48 Divide each side by '8'. x = 6 Simplifying x = 6
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