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Simplifying 4(x + -4) = -5(x + 1) + 22 Reorder the terms: 4(-4 + x) = -5(x + 1) + 22 (-4 * 4 + x * 4) = -5(x + 1) + 22 (-16 + 4x) = -5(x + 1) + 22 Reorder the terms: -16 + 4x = -5(1 + x) + 22 -16 + 4x = (1 * -5 + x * -5) + 22 -16 + 4x = (-5 + -5x) + 22 Reorder the terms: -16 + 4x = -5 + 22 + -5x Combine like terms: -5 + 22 = 17 -16 + 4x = 17 + -5x Solving -16 + 4x = 17 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -16 + 4x + 5x = 17 + -5x + 5x Combine like terms: 4x + 5x = 9x -16 + 9x = 17 + -5x + 5x Combine like terms: -5x + 5x = 0 -16 + 9x = 17 + 0 -16 + 9x = 17 Add '16' to each side of the equation. -16 + 16 + 9x = 17 + 16 Combine like terms: -16 + 16 = 0 0 + 9x = 17 + 16 9x = 17 + 16 Combine like terms: 17 + 16 = 33 9x = 33 Divide each side by '9'. x = 3.666666667 Simplifying x = 3.666666667
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