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Simplifying 2x + 1 = (x + 2)(r) Reorder the terms: 1 + 2x = (x + 2)(r) Reorder the terms: 1 + 2x = (2 + x)(r) Reorder the terms for easier multiplication: 1 + 2x = r(2 + x) 1 + 2x = (2 * r + x * r) 1 + 2x = (2r + rx) Solving 1 + 2x = 2r + rx Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1rx' to each side of the equation. 1 + -1rx + 2x = 2r + rx + -1rx Combine like terms: rx + -1rx = 0 1 + -1rx + 2x = 2r + 0 1 + -1rx + 2x = 2r Add '-1' to each side of the equation. 1 + -1rx + -1 + 2x = -1 + 2r Reorder the terms: 1 + -1 + -1rx + 2x = -1 + 2r Combine like terms: 1 + -1 = 0 0 + -1rx + 2x = -1 + 2r -1rx + 2x = -1 + 2r Reorder the terms: 1 + -2r + -1rx + 2x = -1 + 2r + 1 + -2r Reorder the terms: 1 + -2r + -1rx + 2x = -1 + 1 + 2r + -2r Combine like terms: -1 + 1 = 0 1 + -2r + -1rx + 2x = 0 + 2r + -2r 1 + -2r + -1rx + 2x = 2r + -2r Combine like terms: 2r + -2r = 0 1 + -2r + -1rx + 2x = 0 The solution to this equation could not be determined.
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