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Simplifying -4(x + -1) + -1(x + 9) = 5x + -1(x + -16) Reorder the terms: -4(-1 + x) + -1(x + 9) = 5x + -1(x + -16) (-1 * -4 + x * -4) + -1(x + 9) = 5x + -1(x + -16) (4 + -4x) + -1(x + 9) = 5x + -1(x + -16) Reorder the terms: 4 + -4x + -1(9 + x) = 5x + -1(x + -16) 4 + -4x + (9 * -1 + x * -1) = 5x + -1(x + -16) 4 + -4x + (-9 + -1x) = 5x + -1(x + -16) Reorder the terms: 4 + -9 + -4x + -1x = 5x + -1(x + -16) Combine like terms: 4 + -9 = -5 -5 + -4x + -1x = 5x + -1(x + -16) Combine like terms: -4x + -1x = -5x -5 + -5x = 5x + -1(x + -16) Reorder the terms: -5 + -5x = 5x + -1(-16 + x) -5 + -5x = 5x + (-16 * -1 + x * -1) -5 + -5x = 5x + (16 + -1x) Reorder the terms: -5 + -5x = 16 + 5x + -1x Combine like terms: 5x + -1x = 4x -5 + -5x = 16 + 4x Solving -5 + -5x = 16 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -5 + -5x + -4x = 16 + 4x + -4x Combine like terms: -5x + -4x = -9x -5 + -9x = 16 + 4x + -4x Combine like terms: 4x + -4x = 0 -5 + -9x = 16 + 0 -5 + -9x = 16 Add '5' to each side of the equation. -5 + 5 + -9x = 16 + 5 Combine like terms: -5 + 5 = 0 0 + -9x = 16 + 5 -9x = 16 + 5 Combine like terms: 16 + 5 = 21 -9x = 21 Divide each side by '-9'. x = -2.333333333 Simplifying x = -2.333333333
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