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Simplifying 5(x + -1) = -4(x + 4) + 26 Reorder the terms: 5(-1 + x) = -4(x + 4) + 26 (-1 * 5 + x * 5) = -4(x + 4) + 26 (-5 + 5x) = -4(x + 4) + 26 Reorder the terms: -5 + 5x = -4(4 + x) + 26 -5 + 5x = (4 * -4 + x * -4) + 26 -5 + 5x = (-16 + -4x) + 26 Reorder the terms: -5 + 5x = -16 + 26 + -4x Combine like terms: -16 + 26 = 10 -5 + 5x = 10 + -4x Solving -5 + 5x = 10 + -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 = 10 + -4x + 4x Combine like terms: 5x + 4x = 9x -5 + 9x = 10 + -4x + 4x Combine like terms: -4x + 4x = 0 -5 + 9x = 10 + 0 -5 + 9x = 10 Add '5' to each side of the equation. -5 + 5 + 9x = 10 + 5 Combine like terms: -5 + 5 = 0 0 + 9x = 10 + 5 9x = 10 + 5 Combine like terms: 10 + 5 = 15 9x = 15 Divide each side by '9'. x = 1.666666667 Simplifying x = 1.666666667
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