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Simplifying -3x + -5 + 6x = 6(7x + 3) + 7(7 + -3x) Reorder the terms: -5 + -3x + 6x = 6(7x + 3) + 7(7 + -3x) Combine like terms: -3x + 6x = 3x -5 + 3x = 6(7x + 3) + 7(7 + -3x) Reorder the terms: -5 + 3x = 6(3 + 7x) + 7(7 + -3x) -5 + 3x = (3 * 6 + 7x * 6) + 7(7 + -3x) -5 + 3x = (18 + 42x) + 7(7 + -3x) -5 + 3x = 18 + 42x + (7 * 7 + -3x * 7) -5 + 3x = 18 + 42x + (49 + -21x) Reorder the terms: -5 + 3x = 18 + 49 + 42x + -21x Combine like terms: 18 + 49 = 67 -5 + 3x = 67 + 42x + -21x Combine like terms: 42x + -21x = 21x -5 + 3x = 67 + 21x Solving -5 + 3x = 67 + 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. -5 + 3x + -21x = 67 + 21x + -21x Combine like terms: 3x + -21x = -18x -5 + -18x = 67 + 21x + -21x Combine like terms: 21x + -21x = 0 -5 + -18x = 67 + 0 -5 + -18x = 67 Add '5' to each side of the equation. -5 + 5 + -18x = 67 + 5 Combine like terms: -5 + 5 = 0 0 + -18x = 67 + 5 -18x = 67 + 5 Combine like terms: 67 + 5 = 72 -18x = 72 Divide each side by '-18'. x = -4 Simplifying x = -4
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