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Simplifying 3x + 12 = 7(12 + x) Reorder the terms: 12 + 3x = 7(12 + x) 12 + 3x = (12 * 7 + x * 7) 12 + 3x = (84 + 7x) Solving 12 + 3x = 84 + 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. 12 + 3x + -7x = 84 + 7x + -7x Combine like terms: 3x + -7x = -4x 12 + -4x = 84 + 7x + -7x Combine like terms: 7x + -7x = 0 12 + -4x = 84 + 0 12 + -4x = 84 Add '-12' to each side of the equation. 12 + -12 + -4x = 84 + -12 Combine like terms: 12 + -12 = 0 0 + -4x = 84 + -12 -4x = 84 + -12 Combine like terms: 84 + -12 = 72 -4x = 72 Divide each side by '-4'. x = -18 Simplifying x = -18
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