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Simplifying 12x + -7 + 12x = -4(8x + 7) + -11(-4x + 9) Reorder the terms: -7 + 12x + 12x = -4(8x + 7) + -11(-4x + 9) Combine like terms: 12x + 12x = 24x -7 + 24x = -4(8x + 7) + -11(-4x + 9) Reorder the terms: -7 + 24x = -4(7 + 8x) + -11(-4x + 9) -7 + 24x = (7 * -4 + 8x * -4) + -11(-4x + 9) -7 + 24x = (-28 + -32x) + -11(-4x + 9) Reorder the terms: -7 + 24x = -28 + -32x + -11(9 + -4x) -7 + 24x = -28 + -32x + (9 * -11 + -4x * -11) -7 + 24x = -28 + -32x + (-99 + 44x) Reorder the terms: -7 + 24x = -28 + -99 + -32x + 44x Combine like terms: -28 + -99 = -127 -7 + 24x = -127 + -32x + 44x Combine like terms: -32x + 44x = 12x -7 + 24x = -127 + 12x Solving -7 + 24x = -127 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -7 + 24x + -12x = -127 + 12x + -12x Combine like terms: 24x + -12x = 12x -7 + 12x = -127 + 12x + -12x Combine like terms: 12x + -12x = 0 -7 + 12x = -127 + 0 -7 + 12x = -127 Add '7' to each side of the equation. -7 + 7 + 12x = -127 + 7 Combine like terms: -7 + 7 = 0 0 + 12x = -127 + 7 12x = -127 + 7 Combine like terms: -127 + 7 = -120 12x = -120 Divide each side by '12'. x = -10 Simplifying x = -10
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