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Simplifying 5(6x + -1) + -5(x + 2) = 22(x + 1) Reorder the terms: 5(-1 + 6x) + -5(x + 2) = 22(x + 1) (-1 * 5 + 6x * 5) + -5(x + 2) = 22(x + 1) (-5 + 30x) + -5(x + 2) = 22(x + 1) Reorder the terms: -5 + 30x + -5(2 + x) = 22(x + 1) -5 + 30x + (2 * -5 + x * -5) = 22(x + 1) -5 + 30x + (-10 + -5x) = 22(x + 1) Reorder the terms: -5 + -10 + 30x + -5x = 22(x + 1) Combine like terms: -5 + -10 = -15 -15 + 30x + -5x = 22(x + 1) Combine like terms: 30x + -5x = 25x -15 + 25x = 22(x + 1) Reorder the terms: -15 + 25x = 22(1 + x) -15 + 25x = (1 * 22 + x * 22) -15 + 25x = (22 + 22x) Solving -15 + 25x = 22 + 22x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-22x' to each side of the equation. -15 + 25x + -22x = 22 + 22x + -22x Combine like terms: 25x + -22x = 3x -15 + 3x = 22 + 22x + -22x Combine like terms: 22x + -22x = 0 -15 + 3x = 22 + 0 -15 + 3x = 22 Add '15' to each side of the equation. -15 + 15 + 3x = 22 + 15 Combine like terms: -15 + 15 = 0 0 + 3x = 22 + 15 3x = 22 + 15 Combine like terms: 22 + 15 = 37 3x = 37 Divide each side by '3'. x = 12.33333333 Simplifying x = 12.33333333
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