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Simplifying 3(7x + -7) = 19x + -5 Reorder the terms: 3(-7 + 7x) = 19x + -5 (-7 * 3 + 7x * 3) = 19x + -5 (-21 + 21x) = 19x + -5 Reorder the terms: -21 + 21x = -5 + 19x Solving -21 + 21x = -5 + 19x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-19x' to each side of the equation. -21 + 21x + -19x = -5 + 19x + -19x Combine like terms: 21x + -19x = 2x -21 + 2x = -5 + 19x + -19x Combine like terms: 19x + -19x = 0 -21 + 2x = -5 + 0 -21 + 2x = -5 Add '21' to each side of the equation. -21 + 21 + 2x = -5 + 21 Combine like terms: -21 + 21 = 0 0 + 2x = -5 + 21 2x = -5 + 21 Combine like terms: -5 + 21 = 16 2x = 16 Divide each side by '2'. x = 8 Simplifying x = 8
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