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Simplifying 7(x + -3) = -5(x + 1) + 26 Reorder the terms: 7(-3 + x) = -5(x + 1) + 26 (-3 * 7 + x * 7) = -5(x + 1) + 26 (-21 + 7x) = -5(x + 1) + 26 Reorder the terms: -21 + 7x = -5(1 + x) + 26 -21 + 7x = (1 * -5 + x * -5) + 26 -21 + 7x = (-5 + -5x) + 26 Reorder the terms: -21 + 7x = -5 + 26 + -5x Combine like terms: -5 + 26 = 21 -21 + 7x = 21 + -5x Solving -21 + 7x = 21 + -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. -21 + 7x + 5x = 21 + -5x + 5x Combine like terms: 7x + 5x = 12x -21 + 12x = 21 + -5x + 5x Combine like terms: -5x + 5x = 0 -21 + 12x = 21 + 0 -21 + 12x = 21 Add '21' to each side of the equation. -21 + 21 + 12x = 21 + 21 Combine like terms: -21 + 21 = 0 0 + 12x = 21 + 21 12x = 21 + 21 Combine like terms: 21 + 21 = 42 12x = 42 Divide each side by '12'. x = 3.5 Simplifying x = 3.5
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