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Simplifying (4x + 1) + -1(8x + 7) = 0 Reorder the terms: (1 + 4x) + -1(8x + 7) = 0 Remove parenthesis around (1 + 4x) 1 + 4x + -1(8x + 7) = 0 Reorder the terms: 1 + 4x + -1(7 + 8x) = 0 1 + 4x + (7 * -1 + 8x * -1) = 0 1 + 4x + (-7 + -8x) = 0 Reorder the terms: 1 + -7 + 4x + -8x = 0 Combine like terms: 1 + -7 = -6 -6 + 4x + -8x = 0 Combine like terms: 4x + -8x = -4x -6 + -4x = 0 Solving -6 + -4x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + -4x = 0 + 6 Combine like terms: -6 + 6 = 0 0 + -4x = 0 + 6 -4x = 0 + 6 Combine like terms: 0 + 6 = 6 -4x = 6 Divide each side by '-4'. x = -1.5 Simplifying x = -1.5
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