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Simplifying 4x + -36 = -6 + 3(7x + 7) Reorder the terms: -36 + 4x = -6 + 3(7x + 7) Reorder the terms: -36 + 4x = -6 + 3(7 + 7x) -36 + 4x = -6 + (7 * 3 + 7x * 3) -36 + 4x = -6 + (21 + 21x) Combine like terms: -6 + 21 = 15 -36 + 4x = 15 + 21x Solving -36 + 4x = 15 + 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. -36 + 4x + -21x = 15 + 21x + -21x Combine like terms: 4x + -21x = -17x -36 + -17x = 15 + 21x + -21x Combine like terms: 21x + -21x = 0 -36 + -17x = 15 + 0 -36 + -17x = 15 Add '36' to each side of the equation. -36 + 36 + -17x = 15 + 36 Combine like terms: -36 + 36 = 0 0 + -17x = 15 + 36 -17x = 15 + 36 Combine like terms: 15 + 36 = 51 -17x = 51 Divide each side by '-17'. x = -3 Simplifying x = -3
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