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Simplifying 2x + -6(3x + 5) + 9 = 83 + -12x Reorder the terms: 2x + -6(5 + 3x) + 9 = 83 + -12x 2x + (5 * -6 + 3x * -6) + 9 = 83 + -12x 2x + (-30 + -18x) + 9 = 83 + -12x Reorder the terms: -30 + 9 + 2x + -18x = 83 + -12x Combine like terms: -30 + 9 = -21 -21 + 2x + -18x = 83 + -12x Combine like terms: 2x + -18x = -16x -21 + -16x = 83 + -12x Solving -21 + -16x = 83 + -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. -21 + -16x + 12x = 83 + -12x + 12x Combine like terms: -16x + 12x = -4x -21 + -4x = 83 + -12x + 12x Combine like terms: -12x + 12x = 0 -21 + -4x = 83 + 0 -21 + -4x = 83 Add '21' to each side of the equation. -21 + 21 + -4x = 83 + 21 Combine like terms: -21 + 21 = 0 0 + -4x = 83 + 21 -4x = 83 + 21 Combine like terms: 83 + 21 = 104 -4x = 104 Divide each side by '-4'. x = -26 Simplifying x = -26
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