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Simplifying 2 + -3(x + 5) + 1 = x + 5(1 + -1x) Reorder the terms: 2 + -3(5 + x) + 1 = x + 5(1 + -1x) 2 + (5 * -3 + x * -3) + 1 = x + 5(1 + -1x) 2 + (-15 + -3x) + 1 = x + 5(1 + -1x) Reorder the terms: 2 + -15 + 1 + -3x = x + 5(1 + -1x) Combine like terms: 2 + -15 = -13 -13 + 1 + -3x = x + 5(1 + -1x) Combine like terms: -13 + 1 = -12 -12 + -3x = x + 5(1 + -1x) -12 + -3x = x + (1 * 5 + -1x * 5) -12 + -3x = x + (5 + -5x) Reorder the terms: -12 + -3x = 5 + x + -5x Combine like terms: x + -5x = -4x -12 + -3x = 5 + -4x Solving -12 + -3x = 5 + -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. -12 + -3x + 4x = 5 + -4x + 4x Combine like terms: -3x + 4x = 1x -12 + 1x = 5 + -4x + 4x Combine like terms: -4x + 4x = 0 -12 + 1x = 5 + 0 -12 + 1x = 5 Add '12' to each side of the equation. -12 + 12 + 1x = 5 + 12 Combine like terms: -12 + 12 = 0 0 + 1x = 5 + 12 1x = 5 + 12 Combine like terms: 5 + 12 = 17 1x = 17 Divide each side by '1'. x = 17 Simplifying x = 17
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