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Simplifying 7.8(x + -2) = -0.2x + 32.4 Reorder the terms: 7.8(-2 + x) = -0.2x + 32.4 (-2 * 7.8 + x * 7.8) = -0.2x + 32.4 (-15.6 + 7.8x) = -0.2x + 32.4 Reorder the terms: -15.6 + 7.8x = 32.4 + -0.2x Solving -15.6 + 7.8x = 32.4 + -0.2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.2x' to each side of the equation. -15.6 + 7.8x + 0.2x = 32.4 + -0.2x + 0.2x Combine like terms: 7.8x + 0.2x = 8x -15.6 + 8x = 32.4 + -0.2x + 0.2x Combine like terms: -0.2x + 0.2x = 0.0 -15.6 + 8x = 32.4 + 0.0 -15.6 + 8x = 32.4 Add '15.6' to each side of the equation. -15.6 + 15.6 + 8x = 32.4 + 15.6 Combine like terms: -15.6 + 15.6 = 0.0 0.0 + 8x = 32.4 + 15.6 8x = 32.4 + 15.6 Combine like terms: 32.4 + 15.6 = 48 8x = 48 Divide each side by '8'. x = 6 Simplifying x = 6
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