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