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Simplifying 4(2x + 1) = 27 + 13(2x + -5) Reorder the terms: 4(1 + 2x) = 27 + 13(2x + -5) (1 * 4 + 2x * 4) = 27 + 13(2x + -5) (4 + 8x) = 27 + 13(2x + -5) Reorder the terms: 4 + 8x = 27 + 13(-5 + 2x) 4 + 8x = 27 + (-5 * 13 + 2x * 13) 4 + 8x = 27 + (-65 + 26x) Combine like terms: 27 + -65 = -38 4 + 8x = -38 + 26x Solving 4 + 8x = -38 + 26x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-26x' to each side of the equation. 4 + 8x + -26x = -38 + 26x + -26x Combine like terms: 8x + -26x = -18x 4 + -18x = -38 + 26x + -26x Combine like terms: 26x + -26x = 0 4 + -18x = -38 + 0 4 + -18x = -38 Add '-4' to each side of the equation. 4 + -4 + -18x = -38 + -4 Combine like terms: 4 + -4 = 0 0 + -18x = -38 + -4 -18x = -38 + -4 Combine like terms: -38 + -4 = -42 -18x = -42 Divide each side by '-18'. x = 2.333333333 Simplifying x = 2.333333333
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