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Simplifying 19x + 2(1) = 21(x + 1) + -19 Multiply 2 * 1 19x + 2 = 21(x + 1) + -19 Reorder the terms: 2 + 19x = 21(x + 1) + -19 Reorder the terms: 2 + 19x = 21(1 + x) + -19 2 + 19x = (1 * 21 + x * 21) + -19 2 + 19x = (21 + 21x) + -19 Reorder the terms: 2 + 19x = 21 + -19 + 21x Combine like terms: 21 + -19 = 2 2 + 19x = 2 + 21x Add '-2' to each side of the equation. 2 + -2 + 19x = 2 + -2 + 21x Combine like terms: 2 + -2 = 0 0 + 19x = 2 + -2 + 21x 19x = 2 + -2 + 21x Combine like terms: 2 + -2 = 0 19x = 0 + 21x 19x = 21x Solving 19x = 21x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-21x' to each side of the equation. 19x + -21x = 21x + -21x Combine like terms: 19x + -21x = -2x -2x = 21x + -21x Combine like terms: 21x + -21x = 0 -2x = 0 Divide each side by '-2'. x = 0 Simplifying x = 0
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