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Simplifying 12 + 8x = 4(7x + -7) Reorder the terms: 12 + 8x = 4(-7 + 7x) 12 + 8x = (-7 * 4 + 7x * 4) 12 + 8x = (-28 + 28x) Solving 12 + 8x = -28 + 28x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-28x' to each side of the equation. 12 + 8x + -28x = -28 + 28x + -28x Combine like terms: 8x + -28x = -20x 12 + -20x = -28 + 28x + -28x Combine like terms: 28x + -28x = 0 12 + -20x = -28 + 0 12 + -20x = -28 Add '-12' to each side of the equation. 12 + -12 + -20x = -28 + -12 Combine like terms: 12 + -12 = 0 0 + -20x = -28 + -12 -20x = -28 + -12 Combine like terms: -28 + -12 = -40 -20x = -40 Divide each side by '-20'. x = 2 Simplifying x = 2
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