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Simplifying 3 + 3(2x + -8) + -3(4x + 5) + -7 = 0 Reorder the terms: 3 + 3(-8 + 2x) + -3(4x + 5) + -7 = 0 3 + (-8 * 3 + 2x * 3) + -3(4x + 5) + -7 = 0 3 + (-24 + 6x) + -3(4x + 5) + -7 = 0 Reorder the terms: 3 + -24 + 6x + -3(5 + 4x) + -7 = 0 3 + -24 + 6x + (5 * -3 + 4x * -3) + -7 = 0 3 + -24 + 6x + (-15 + -12x) + -7 = 0 Reorder the terms: 3 + -24 + -15 + -7 + 6x + -12x = 0 Combine like terms: 3 + -24 = -21 -21 + -15 + -7 + 6x + -12x = 0 Combine like terms: -21 + -15 = -36 -36 + -7 + 6x + -12x = 0 Combine like terms: -36 + -7 = -43 -43 + 6x + -12x = 0 Combine like terms: 6x + -12x = -6x -43 + -6x = 0 Solving -43 + -6x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '43' to each side of the equation. -43 + 43 + -6x = 0 + 43 Combine like terms: -43 + 43 = 0 0 + -6x = 0 + 43 -6x = 0 + 43 Combine like terms: 0 + 43 = 43 -6x = 43 Divide each side by '-6'. x = -7.166666667 Simplifying x = -7.166666667
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