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Simplifying 2(x + 21) = 7(3x + -2) Reorder the terms: 2(21 + x) = 7(3x + -2) (21 * 2 + x * 2) = 7(3x + -2) (42 + 2x) = 7(3x + -2) Reorder the terms: 42 + 2x = 7(-2 + 3x) 42 + 2x = (-2 * 7 + 3x * 7) 42 + 2x = (-14 + 21x) Solving 42 + 2x = -14 + 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. 42 + 2x + -21x = -14 + 21x + -21x Combine like terms: 2x + -21x = -19x 42 + -19x = -14 + 21x + -21x Combine like terms: 21x + -21x = 0 42 + -19x = -14 + 0 42 + -19x = -14 Add '-42' to each side of the equation. 42 + -42 + -19x = -14 + -42 Combine like terms: 42 + -42 = 0 0 + -19x = -14 + -42 -19x = -14 + -42 Combine like terms: -14 + -42 = -56 -19x = -56 Divide each side by '-19'. x = 2.947368421 Simplifying x = 2.947368421
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