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Simplifying 5(-1 + 5x) + -5(8x + 2) = -1(4x + 8x) (-1 * 5 + 5x * 5) + -5(8x + 2) = -1(4x + 8x) (-5 + 25x) + -5(8x + 2) = -1(4x + 8x) Reorder the terms: -5 + 25x + -5(2 + 8x) = -1(4x + 8x) -5 + 25x + (2 * -5 + 8x * -5) = -1(4x + 8x) -5 + 25x + (-10 + -40x) = -1(4x + 8x) Reorder the terms: -5 + -10 + 25x + -40x = -1(4x + 8x) Combine like terms: -5 + -10 = -15 -15 + 25x + -40x = -1(4x + 8x) Combine like terms: 25x + -40x = -15x -15 + -15x = -1(4x + 8x) Combine like terms: 4x + 8x = 12x -15 + -15x = -1(12x) Remove parenthesis around (12x) -15 + -15x = -1 * 12x Multiply -1 * 12 -15 + -15x = -12x Solving -15 + -15x = -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. -15 + -15x + 12x = -12x + 12x Combine like terms: -15x + 12x = -3x -15 + -3x = -12x + 12x Combine like terms: -12x + 12x = 0 -15 + -3x = 0 Add '15' to each side of the equation. -15 + 15 + -3x = 0 + 15 Combine like terms: -15 + 15 = 0 0 + -3x = 0 + 15 -3x = 0 + 15 Combine like terms: 0 + 15 = 15 -3x = 15 Divide each side by '-3'. x = -5 Simplifying x = -5
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