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