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Simplifying -4(1 + 4x) + -5(1 + -5x) = x + -8 + 7x (1 * -4 + 4x * -4) + -5(1 + -5x) = x + -8 + 7x (-4 + -16x) + -5(1 + -5x) = x + -8 + 7x -4 + -16x + (1 * -5 + -5x * -5) = x + -8 + 7x -4 + -16x + (-5 + 25x) = x + -8 + 7x Reorder the terms: -4 + -5 + -16x + 25x = x + -8 + 7x Combine like terms: -4 + -5 = -9 -9 + -16x + 25x = x + -8 + 7x Combine like terms: -16x + 25x = 9x -9 + 9x = x + -8 + 7x Reorder the terms: -9 + 9x = -8 + x + 7x Combine like terms: x + 7x = 8x -9 + 9x = -8 + 8x Solving -9 + 9x = -8 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -9 + 9x + -8x = -8 + 8x + -8x Combine like terms: 9x + -8x = 1x -9 + 1x = -8 + 8x + -8x Combine like terms: 8x + -8x = 0 -9 + 1x = -8 + 0 -9 + 1x = -8 Add '9' to each side of the equation. -9 + 9 + 1x = -8 + 9 Combine like terms: -9 + 9 = 0 0 + 1x = -8 + 9 1x = -8 + 9 Combine like terms: -8 + 9 = 1 1x = 1 Divide each side by '1'. x = 1 Simplifying x = 1
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