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Simplifying 6x + -12 = 12x + 9(x + 7) Reorder the terms: -12 + 6x = 12x + 9(x + 7) Reorder the terms: -12 + 6x = 12x + 9(7 + x) -12 + 6x = 12x + (7 * 9 + x * 9) -12 + 6x = 12x + (63 + 9x) Reorder the terms: -12 + 6x = 63 + 12x + 9x Combine like terms: 12x + 9x = 21x -12 + 6x = 63 + 21x Solving -12 + 6x = 63 + 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. -12 + 6x + -21x = 63 + 21x + -21x Combine like terms: 6x + -21x = -15x -12 + -15x = 63 + 21x + -21x Combine like terms: 21x + -21x = 0 -12 + -15x = 63 + 0 -12 + -15x = 63 Add '12' to each side of the equation. -12 + 12 + -15x = 63 + 12 Combine like terms: -12 + 12 = 0 0 + -15x = 63 + 12 -15x = 63 + 12 Combine like terms: 63 + 12 = 75 -15x = 75 Divide each side by '-15'. x = -5 Simplifying x = -5
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