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Simplifying 5(x + -4) = -7(x + 1) + 26 Reorder the terms: 5(-4 + x) = -7(x + 1) + 26 (-4 * 5 + x * 5) = -7(x + 1) + 26 (-20 + 5x) = -7(x + 1) + 26 Reorder the terms: -20 + 5x = -7(1 + x) + 26 -20 + 5x = (1 * -7 + x * -7) + 26 -20 + 5x = (-7 + -7x) + 26 Reorder the terms: -20 + 5x = -7 + 26 + -7x Combine like terms: -7 + 26 = 19 -20 + 5x = 19 + -7x Solving -20 + 5x = 19 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. -20 + 5x + 7x = 19 + -7x + 7x Combine like terms: 5x + 7x = 12x -20 + 12x = 19 + -7x + 7x Combine like terms: -7x + 7x = 0 -20 + 12x = 19 + 0 -20 + 12x = 19 Add '20' to each side of the equation. -20 + 20 + 12x = 19 + 20 Combine like terms: -20 + 20 = 0 0 + 12x = 19 + 20 12x = 19 + 20 Combine like terms: 19 + 20 = 39 12x = 39 Divide each side by '12'. x = 3.25 Simplifying x = 3.25
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