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Simplifying 22x + -5(1 + -3x) + 3 = -3(x + 1) + 5x 22x + (1 * -5 + -3x * -5) + 3 = -3(x + 1) + 5x 22x + (-5 + 15x) + 3 = -3(x + 1) + 5x Reorder the terms: -5 + 3 + 22x + 15x = -3(x + 1) + 5x Combine like terms: -5 + 3 = -2 -2 + 22x + 15x = -3(x + 1) + 5x Combine like terms: 22x + 15x = 37x -2 + 37x = -3(x + 1) + 5x Reorder the terms: -2 + 37x = -3(1 + x) + 5x -2 + 37x = (1 * -3 + x * -3) + 5x -2 + 37x = (-3 + -3x) + 5x Combine like terms: -3x + 5x = 2x -2 + 37x = -3 + 2x Solving -2 + 37x = -3 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -2 + 37x + -2x = -3 + 2x + -2x Combine like terms: 37x + -2x = 35x -2 + 35x = -3 + 2x + -2x Combine like terms: 2x + -2x = 0 -2 + 35x = -3 + 0 -2 + 35x = -3 Add '2' to each side of the equation. -2 + 2 + 35x = -3 + 2 Combine like terms: -2 + 2 = 0 0 + 35x = -3 + 2 35x = -3 + 2 Combine like terms: -3 + 2 = -1 35x = -1 Divide each side by '35'. x = -0.02857142857 Simplifying x = -0.02857142857
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