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Simplifying 19(4x + -1) + -18 = 74x + 19 Reorder the terms: 19(-1 + 4x) + -18 = 74x + 19 (-1 * 19 + 4x * 19) + -18 = 74x + 19 (-19 + 76x) + -18 = 74x + 19 Reorder the terms: -19 + -18 + 76x = 74x + 19 Combine like terms: -19 + -18 = -37 -37 + 76x = 74x + 19 Reorder the terms: -37 + 76x = 19 + 74x Solving -37 + 76x = 19 + 74x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-74x' to each side of the equation. -37 + 76x + -74x = 19 + 74x + -74x Combine like terms: 76x + -74x = 2x -37 + 2x = 19 + 74x + -74x Combine like terms: 74x + -74x = 0 -37 + 2x = 19 + 0 -37 + 2x = 19 Add '37' to each side of the equation. -37 + 37 + 2x = 19 + 37 Combine like terms: -37 + 37 = 0 0 + 2x = 19 + 37 2x = 19 + 37 Combine like terms: 19 + 37 = 56 2x = 56 Divide each side by '2'. x = 28 Simplifying x = 28
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