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Simplifying 3(4.2 + -3.5x) = 8x + -7.2 (4.2 * 3 + -3.5x * 3) = 8x + -7.2 (12.6 + -10.5x) = 8x + -7.2 Reorder the terms: 12.6 + -10.5x = -7.2 + 8x Solving 12.6 + -10.5x = -7.2 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 12.6 + -10.5x + -8x = -7.2 + 8x + -8x Combine like terms: -10.5x + -8x = -18.5x 12.6 + -18.5x = -7.2 + 8x + -8x Combine like terms: 8x + -8x = 0 12.6 + -18.5x = -7.2 + 0 12.6 + -18.5x = -7.2 Add '-12.6' to each side of the equation. 12.6 + -12.6 + -18.5x = -7.2 + -12.6 Combine like terms: 12.6 + -12.6 = 0.0 0.0 + -18.5x = -7.2 + -12.6 -18.5x = -7.2 + -12.6 Combine like terms: -7.2 + -12.6 = -19.8 -18.5x = -19.8 Divide each side by '-18.5'. x = 1.07027027 Simplifying x = 1.07027027
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