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Simplifying 38(18 + -5.5x) = 13(5x + -7) + 7.8 (18 * 38 + -5.5x * 38) = 13(5x + -7) + 7.8 (684 + -209x) = 13(5x + -7) + 7.8 Reorder the terms: 684 + -209x = 13(-7 + 5x) + 7.8 684 + -209x = (-7 * 13 + 5x * 13) + 7.8 684 + -209x = (-91 + 65x) + 7.8 Reorder the terms: 684 + -209x = -91 + 7.8 + 65x Combine like terms: -91 + 7.8 = -83.2 684 + -209x = -83.2 + 65x Solving 684 + -209x = -83.2 + 65x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-65x' to each side of the equation. 684 + -209x + -65x = -83.2 + 65x + -65x Combine like terms: -209x + -65x = -274x 684 + -274x = -83.2 + 65x + -65x Combine like terms: 65x + -65x = 0 684 + -274x = -83.2 + 0 684 + -274x = -83.2 Add '-684' to each side of the equation. 684 + -684 + -274x = -83.2 + -684 Combine like terms: 684 + -684 = 0 0 + -274x = -83.2 + -684 -274x = -83.2 + -684 Combine like terms: -83.2 + -684 = -767.2 -274x = -767.2 Divide each side by '-274'. x = 2.8 Simplifying x = 2.8
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