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Simplifying 12 + -4x = 4(3x + 7) Reorder the terms: 12 + -4x = 4(7 + 3x) 12 + -4x = (7 * 4 + 3x * 4) 12 + -4x = (28 + 12x) Solving 12 + -4x = 28 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 12 + -4x + -12x = 28 + 12x + -12x Combine like terms: -4x + -12x = -16x 12 + -16x = 28 + 12x + -12x Combine like terms: 12x + -12x = 0 12 + -16x = 28 + 0 12 + -16x = 28 Add '-12' to each side of the equation. 12 + -12 + -16x = 28 + -12 Combine like terms: 12 + -12 = 0 0 + -16x = 28 + -12 -16x = 28 + -12 Combine like terms: 28 + -12 = 16 -16x = 16 Divide each side by '-16'. x = -1 Simplifying x = -1
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