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Simplifying x + 2 + 4x + 6 = 7x + -12 Reorder the terms: 2 + 6 + x + 4x = 7x + -12 Combine like terms: 2 + 6 = 8 8 + x + 4x = 7x + -12 Combine like terms: x + 4x = 5x 8 + 5x = 7x + -12 Reorder the terms: 8 + 5x = -12 + 7x Solving 8 + 5x = -12 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 8 + 5x + -7x = -12 + 7x + -7x Combine like terms: 5x + -7x = -2x 8 + -2x = -12 + 7x + -7x Combine like terms: 7x + -7x = 0 8 + -2x = -12 + 0 8 + -2x = -12 Add '-8' to each side of the equation. 8 + -8 + -2x = -12 + -8 Combine like terms: 8 + -8 = 0 0 + -2x = -12 + -8 -2x = -12 + -8 Combine like terms: -12 + -8 = -20 -2x = -20 Divide each side by '-2'. x = 10 Simplifying x = 10
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