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Simplifying 5(11 + -3x) + 14(13 + -18x) = 364 (11 * 5 + -3x * 5) + 14(13 + -18x) = 364 (55 + -15x) + 14(13 + -18x) = 364 55 + -15x + (13 * 14 + -18x * 14) = 364 55 + -15x + (182 + -252x) = 364 Reorder the terms: 55 + 182 + -15x + -252x = 364 Combine like terms: 55 + 182 = 237 237 + -15x + -252x = 364 Combine like terms: -15x + -252x = -267x 237 + -267x = 364 Solving 237 + -267x = 364 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-237' to each side of the equation. 237 + -237 + -267x = 364 + -237 Combine like terms: 237 + -237 = 0 0 + -267x = 364 + -237 -267x = 364 + -237 Combine like terms: 364 + -237 = 127 -267x = 127 Divide each side by '-267'. x = -0.4756554307 Simplifying x = -0.4756554307
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