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Simplifying -2x + -12 = 2(3x + -5) + 6 Reorder the terms: -12 + -2x = 2(3x + -5) + 6 Reorder the terms: -12 + -2x = 2(-5 + 3x) + 6 -12 + -2x = (-5 * 2 + 3x * 2) + 6 -12 + -2x = (-10 + 6x) + 6 Reorder the terms: -12 + -2x = -10 + 6 + 6x Combine like terms: -10 + 6 = -4 -12 + -2x = -4 + 6x Solving -12 + -2x = -4 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -12 + -2x + -6x = -4 + 6x + -6x Combine like terms: -2x + -6x = -8x -12 + -8x = -4 + 6x + -6x Combine like terms: 6x + -6x = 0 -12 + -8x = -4 + 0 -12 + -8x = -4 Add '12' to each side of the equation. -12 + 12 + -8x = -4 + 12 Combine like terms: -12 + 12 = 0 0 + -8x = -4 + 12 -8x = -4 + 12 Combine like terms: -4 + 12 = 8 -8x = 8 Divide each side by '-8'. x = -1 Simplifying x = -1
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