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Simplifying 38(31 + -6.5x) = 14(6x + -9) + 46.2 (31 * 38 + -6.5x * 38) = 14(6x + -9) + 46.2 (1178 + -247x) = 14(6x + -9) + 46.2 Reorder the terms: 1178 + -247x = 14(-9 + 6x) + 46.2 1178 + -247x = (-9 * 14 + 6x * 14) + 46.2 1178 + -247x = (-126 + 84x) + 46.2 Reorder the terms: 1178 + -247x = -126 + 46.2 + 84x Combine like terms: -126 + 46.2 = -79.8 1178 + -247x = -79.8 + 84x Solving 1178 + -247x = -79.8 + 84x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-84x' to each side of the equation. 1178 + -247x + -84x = -79.8 + 84x + -84x Combine like terms: -247x + -84x = -331x 1178 + -331x = -79.8 + 84x + -84x Combine like terms: 84x + -84x = 0 1178 + -331x = -79.8 + 0 1178 + -331x = -79.8 Add '-1178' to each side of the equation. 1178 + -1178 + -331x = -79.8 + -1178 Combine like terms: 1178 + -1178 = 0 0 + -331x = -79.8 + -1178 -331x = -79.8 + -1178 Combine like terms: -79.8 + -1178 = -1257.8 -331x = -1257.8 Divide each side by '-331'. x = 3.8 Simplifying x = 3.8
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