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Simplifying 2x + 12 = 3 + 6x + -7 Reorder the terms: 12 + 2x = 3 + 6x + -7 Reorder the terms: 12 + 2x = 3 + -7 + 6x Combine like terms: 3 + -7 = -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 = -4x 12 + -4x = -4 + 6x + -6x Combine like terms: 6x + -6x = 0 12 + -4x = -4 + 0 12 + -4x = -4 Add '-12' to each side of the equation. 12 + -12 + -4x = -4 + -12 Combine like terms: 12 + -12 = 0 0 + -4x = -4 + -12 -4x = -4 + -12 Combine like terms: -4 + -12 = -16 -4x = -16 Divide each side by '-4'. x = 4 Simplifying x = 4
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