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Simplifying 2x + 12 = -3x + -8 + 7x Reorder the terms: 12 + 2x = -3x + -8 + 7x Reorder the terms: 12 + 2x = -8 + -3x + 7x Combine like terms: -3x + 7x = 4x 12 + 2x = -8 + 4x Solving 12 + 2x = -8 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 12 + 2x + -4x = -8 + 4x + -4x Combine like terms: 2x + -4x = -2x 12 + -2x = -8 + 4x + -4x Combine like terms: 4x + -4x = 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 = -20 -2x = -20 Divide each side by '-2'. x = 10 Simplifying x = 10
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