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Simplifying 7 + 3(2x + -8) + -3(4x + 4) + -9 = 0 Reorder the terms: 7 + 3(-8 + 2x) + -3(4x + 4) + -9 = 0 7 + (-8 * 3 + 2x * 3) + -3(4x + 4) + -9 = 0 7 + (-24 + 6x) + -3(4x + 4) + -9 = 0 Reorder the terms: 7 + -24 + 6x + -3(4 + 4x) + -9 = 0 7 + -24 + 6x + (4 * -3 + 4x * -3) + -9 = 0 7 + -24 + 6x + (-12 + -12x) + -9 = 0 Reorder the terms: 7 + -24 + -12 + -9 + 6x + -12x = 0 Combine like terms: 7 + -24 = -17 -17 + -12 + -9 + 6x + -12x = 0 Combine like terms: -17 + -12 = -29 -29 + -9 + 6x + -12x = 0 Combine like terms: -29 + -9 = -38 -38 + 6x + -12x = 0 Combine like terms: 6x + -12x = -6x -38 + -6x = 0 Solving -38 + -6x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '38' to each side of the equation. -38 + 38 + -6x = 0 + 38 Combine like terms: -38 + 38 = 0 0 + -6x = 0 + 38 -6x = 0 + 38 Combine like terms: 0 + 38 = 38 -6x = 38 Divide each side by '-6'. x = -6.333333333 Simplifying x = -6.333333333
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