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Simplifying x + (x + 1) + t(x + 2) = 21 Reorder the terms: x + (1 + x) + t(x + 2) = 21 Remove parenthesis around (1 + x) x + 1 + x + t(x + 2) = 21 Reorder the terms: x + 1 + x + t(2 + x) = 21 x + 1 + x + (2 * t + x * t) = 21 x + 1 + x + (2t + tx) = 21 Reorder the terms: 1 + 2t + tx + x + x = 21 Combine like terms: x + x = 2x 1 + 2t + tx + 2x = 21 Solving 1 + 2t + tx + 2x = 21 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + 2t + tx + -1 + 2x = 21 + -1 Reorder the terms: 1 + -1 + 2t + tx + 2x = 21 + -1 Combine like terms: 1 + -1 = 0 0 + 2t + tx + 2x = 21 + -1 2t + tx + 2x = 21 + -1 Combine like terms: 21 + -1 = 20 2t + tx + 2x = 20 Add '-2x' to each side of the equation. 2t + tx + 2x + -2x = 20 + -2x Combine like terms: 2x + -2x = 0 2t + tx + 0 = 20 + -2x 2t + tx = 20 + -2x Reorder the terms: -20 + 2t + tx + 2x = 20 + -2x + -20 + 2x Reorder the terms: -20 + 2t + tx + 2x = 20 + -20 + -2x + 2x Combine like terms: 20 + -20 = 0 -20 + 2t + tx + 2x = 0 + -2x + 2x -20 + 2t + tx + 2x = -2x + 2x Combine like terms: -2x + 2x = 0 -20 + 2t + tx + 2x = 0 The solution to this equation could not be determined.
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