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Simplifying 21b + 12a + -34x = -19x + b + a + x Reorder the terms: 12a + 21b + -34x = -19x + b + a + x Reorder the terms: 12a + 21b + -34x = a + b + -19x + x Combine like terms: -19x + x = -18x 12a + 21b + -34x = a + b + -18x Solving 12a + 21b + -34x = a + b + -18x Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1a' to each side of the equation. 12a + 21b + -1a + -34x = a + b + -1a + -18x Reorder the terms: 12a + -1a + 21b + -34x = a + b + -1a + -18x Combine like terms: 12a + -1a = 11a 11a + 21b + -34x = a + b + -1a + -18x Reorder the terms: 11a + 21b + -34x = a + -1a + b + -18x Combine like terms: a + -1a = 0 11a + 21b + -34x = 0 + b + -18x 11a + 21b + -34x = b + -18x Add '-21b' to each side of the equation. 11a + 21b + -21b + -34x = b + -21b + -18x Combine like terms: 21b + -21b = 0 11a + 0 + -34x = b + -21b + -18x 11a + -34x = b + -21b + -18x Combine like terms: b + -21b = -20b 11a + -34x = -20b + -18x Add '34x' to each side of the equation. 11a + -34x + 34x = -20b + -18x + 34x Combine like terms: -34x + 34x = 0 11a + 0 = -20b + -18x + 34x 11a = -20b + -18x + 34x Combine like terms: -18x + 34x = 16x 11a = -20b + 16x Divide each side by '11'. a = -1.818181818b + 1.454545455x Simplifying a = -1.818181818b + 1.454545455x
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