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Simplifying 16(x + -2) + -5 = 14x + 1 Reorder the terms: 16(-2 + x) + -5 = 14x + 1 (-2 * 16 + x * 16) + -5 = 14x + 1 (-32 + 16x) + -5 = 14x + 1 Reorder the terms: -32 + -5 + 16x = 14x + 1 Combine like terms: -32 + -5 = -37 -37 + 16x = 14x + 1 Reorder the terms: -37 + 16x = 1 + 14x Solving -37 + 16x = 1 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. -37 + 16x + -14x = 1 + 14x + -14x Combine like terms: 16x + -14x = 2x -37 + 2x = 1 + 14x + -14x Combine like terms: 14x + -14x = 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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