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Simplifying 7x + 12 = 4[x + -12] Reorder the terms: 12 + 7x = 4[x + -12] Reorder the terms: 12 + 7x = 4[-12 + x] 12 + 7x = [-12 * 4 + x * 4] 12 + 7x = [-48 + 4x] Solving 12 + 7x = -48 + 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 + 7x + -4x = -48 + 4x + -4x Combine like terms: 7x + -4x = 3x 12 + 3x = -48 + 4x + -4x Combine like terms: 4x + -4x = 0 12 + 3x = -48 + 0 12 + 3x = -48 Add '-12' to each side of the equation. 12 + -12 + 3x = -48 + -12 Combine like terms: 12 + -12 = 0 0 + 3x = -48 + -12 3x = -48 + -12 Combine like terms: -48 + -12 = -60 3x = -60 Divide each side by '3'. x = -20 Simplifying x = -20
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