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Simplifying 11 * 6 + -2(2x + -9) = 4(3x + -7) Multiply 11 * 6 66 + -2(2x + -9) = 4(3x + -7) Reorder the terms: 66 + -2(-9 + 2x) = 4(3x + -7) 66 + (-9 * -2 + 2x * -2) = 4(3x + -7) 66 + (18 + -4x) = 4(3x + -7) Combine like terms: 66 + 18 = 84 84 + -4x = 4(3x + -7) Reorder the terms: 84 + -4x = 4(-7 + 3x) 84 + -4x = (-7 * 4 + 3x * 4) 84 + -4x = (-28 + 12x) Solving 84 + -4x = -28 + 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. 84 + -4x + -12x = -28 + 12x + -12x Combine like terms: -4x + -12x = -16x 84 + -16x = -28 + 12x + -12x Combine like terms: 12x + -12x = 0 84 + -16x = -28 + 0 84 + -16x = -28 Add '-84' to each side of the equation. 84 + -84 + -16x = -28 + -84 Combine like terms: 84 + -84 = 0 0 + -16x = -28 + -84 -16x = -28 + -84 Combine like terms: -28 + -84 = -112 -16x = -112 Divide each side by '-16'. x = 7 Simplifying x = 7
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