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Simplifying 4x + -1(8x + 7) = -2(3x + -5) + -1 Reorder the terms: 4x + -1(7 + 8x) = -2(3x + -5) + -1 4x + (7 * -1 + 8x * -1) = -2(3x + -5) + -1 4x + (-7 + -8x) = -2(3x + -5) + -1 Reorder the terms: -7 + 4x + -8x = -2(3x + -5) + -1 Combine like terms: 4x + -8x = -4x -7 + -4x = -2(3x + -5) + -1 Reorder the terms: -7 + -4x = -2(-5 + 3x) + -1 -7 + -4x = (-5 * -2 + 3x * -2) + -1 -7 + -4x = (10 + -6x) + -1 Reorder the terms: -7 + -4x = 10 + -1 + -6x Combine like terms: 10 + -1 = 9 -7 + -4x = 9 + -6x Solving -7 + -4x = 9 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -7 + -4x + 6x = 9 + -6x + 6x Combine like terms: -4x + 6x = 2x -7 + 2x = 9 + -6x + 6x Combine like terms: -6x + 6x = 0 -7 + 2x = 9 + 0 -7 + 2x = 9 Add '7' to each side of the equation. -7 + 7 + 2x = 9 + 7 Combine like terms: -7 + 7 = 0 0 + 2x = 9 + 7 2x = 9 + 7 Combine like terms: 9 + 7 = 16 2x = 16 Divide each side by '2'. x = 8 Simplifying x = 8
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