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Simplifying 8x + -20 = 3 + -7(4x + -7) Reorder the terms: -20 + 8x = 3 + -7(4x + -7) Reorder the terms: -20 + 8x = 3 + -7(-7 + 4x) -20 + 8x = 3 + (-7 * -7 + 4x * -7) -20 + 8x = 3 + (49 + -28x) Combine like terms: 3 + 49 = 52 -20 + 8x = 52 + -28x Solving -20 + 8x = 52 + -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. -20 + 8x + 28x = 52 + -28x + 28x Combine like terms: 8x + 28x = 36x -20 + 36x = 52 + -28x + 28x Combine like terms: -28x + 28x = 0 -20 + 36x = 52 + 0 -20 + 36x = 52 Add '20' to each side of the equation. -20 + 20 + 36x = 52 + 20 Combine like terms: -20 + 20 = 0 0 + 36x = 52 + 20 36x = 52 + 20 Combine like terms: 52 + 20 = 72 36x = 72 Divide each side by '36'. x = 2 Simplifying x = 2
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