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Simplifying 8x + -3 = 4 + -7(1 + -7x) Reorder the terms: -3 + 8x = 4 + -7(1 + -7x) -3 + 8x = 4 + (1 * -7 + -7x * -7) -3 + 8x = 4 + (-7 + 49x) Combine like terms: 4 + -7 = -3 -3 + 8x = -3 + 49x Add '3' to each side of the equation. -3 + 3 + 8x = -3 + 3 + 49x Combine like terms: -3 + 3 = 0 0 + 8x = -3 + 3 + 49x 8x = -3 + 3 + 49x Combine like terms: -3 + 3 = 0 8x = 0 + 49x 8x = 49x Solving 8x = 49x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-49x' to each side of the equation. 8x + -49x = 49x + -49x Combine like terms: 8x + -49x = -41x -41x = 49x + -49x Combine like terms: 49x + -49x = 0 -41x = 0 Divide each side by '-41'. x = 0 Simplifying x = 0
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