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Simplifying 18(x + -2) + -1 = 16x + 1 Reorder the terms: 18(-2 + x) + -1 = 16x + 1 (-2 * 18 + x * 18) + -1 = 16x + 1 (-36 + 18x) + -1 = 16x + 1 Reorder the terms: -36 + -1 + 18x = 16x + 1 Combine like terms: -36 + -1 = -37 -37 + 18x = 16x + 1 Reorder the terms: -37 + 18x = 1 + 16x Solving -37 + 18x = 1 + 16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. -37 + 18x + -16x = 1 + 16x + -16x Combine like terms: 18x + -16x = 2x -37 + 2x = 1 + 16x + -16x Combine like terms: 16x + -16x = 0 -37 + 2x = 1 + 0 -37 + 2x = 1 Add '37' to each side of the equation. -37 + 37 + 2x = 1 + 37 Combine like terms: -37 + 37 = 0 0 + 2x = 1 + 37 2x = 1 + 37 Combine like terms: 1 + 37 = 38 2x = 38 Divide each side by '2'. x = 19 Simplifying x = 19
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