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Simplifying 8 + 3(2x + -5) + -3(4x + 7) + -7 = 0 Reorder the terms: 8 + 3(-5 + 2x) + -3(4x + 7) + -7 = 0 8 + (-5 * 3 + 2x * 3) + -3(4x + 7) + -7 = 0 8 + (-15 + 6x) + -3(4x + 7) + -7 = 0 Reorder the terms: 8 + -15 + 6x + -3(7 + 4x) + -7 = 0 8 + -15 + 6x + (7 * -3 + 4x * -3) + -7 = 0 8 + -15 + 6x + (-21 + -12x) + -7 = 0 Reorder the terms: 8 + -15 + -21 + -7 + 6x + -12x = 0 Combine like terms: 8 + -15 = -7 -7 + -21 + -7 + 6x + -12x = 0 Combine like terms: -7 + -21 = -28 -28 + -7 + 6x + -12x = 0 Combine like terms: -28 + -7 = -35 -35 + 6x + -12x = 0 Combine like terms: 6x + -12x = -6x -35 + -6x = 0 Solving -35 + -6x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '35' to each side of the equation. -35 + 35 + -6x = 0 + 35 Combine like terms: -35 + 35 = 0 0 + -6x = 0 + 35 -6x = 0 + 35 Combine like terms: 0 + 35 = 35 -6x = 35 Divide each side by '-6'. x = -5.833333333 Simplifying x = -5.833333333
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