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Simplifying -2(x + 7) = 3(6 + -7x) Reorder the terms: -2(7 + x) = 3(6 + -7x) (7 * -2 + x * -2) = 3(6 + -7x) (-14 + -2x) = 3(6 + -7x) -14 + -2x = (6 * 3 + -7x * 3) -14 + -2x = (18 + -21x) Solving -14 + -2x = 18 + -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. -14 + -2x + 21x = 18 + -21x + 21x Combine like terms: -2x + 21x = 19x -14 + 19x = 18 + -21x + 21x Combine like terms: -21x + 21x = 0 -14 + 19x = 18 + 0 -14 + 19x = 18 Add '14' to each side of the equation. -14 + 14 + 19x = 18 + 14 Combine like terms: -14 + 14 = 0 0 + 19x = 18 + 14 19x = 18 + 14 Combine like terms: 18 + 14 = 32 19x = 32 Divide each side by '19'. x = 1.684210526 Simplifying x = 1.684210526
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