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Simplifying -12 = 13 + 7(x + -3) + -5x Reorder the terms: -12 = 13 + 7(-3 + x) + -5x -12 = 13 + (-3 * 7 + x * 7) + -5x -12 = 13 + (-21 + 7x) + -5x Combine like terms: 13 + -21 = -8 -12 = -8 + 7x + -5x Combine like terms: 7x + -5x = 2x -12 = -8 + 2x Solving -12 = -8 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -12 + -2x = -8 + 2x + -2x Combine like terms: 2x + -2x = 0 -12 + -2x = -8 + 0 -12 + -2x = -8 Add '12' to each side of the equation. -12 + 12 + -2x = -8 + 12 Combine like terms: -12 + 12 = 0 0 + -2x = -8 + 12 -2x = -8 + 12 Combine like terms: -8 + 12 = 4 -2x = 4 Divide each side by '-2'. x = -2 Simplifying x = -2
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