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Simplifying 3x(x + -1) + -17 = x(1 + 3x) + 1 Reorder the terms: 3x(-1 + x) + -17 = x(1 + 3x) + 1 (-1 * 3x + x * 3x) + -17 = x(1 + 3x) + 1 (-3x + 3x2) + -17 = x(1 + 3x) + 1 Reorder the terms: -17 + -3x + 3x2 = x(1 + 3x) + 1 -17 + -3x + 3x2 = (1 * x + 3x * x) + 1 -17 + -3x + 3x2 = (1x + 3x2) + 1 Reorder the terms: -17 + -3x + 3x2 = 1 + 1x + 3x2 Add '-3x2' to each side of the equation. -17 + -3x + 3x2 + -3x2 = 1 + 1x + 3x2 + -3x2 Combine like terms: 3x2 + -3x2 = 0 -17 + -3x + 0 = 1 + 1x + 3x2 + -3x2 -17 + -3x = 1 + 1x + 3x2 + -3x2 Combine like terms: 3x2 + -3x2 = 0 -17 + -3x = 1 + 1x + 0 -17 + -3x = 1 + 1x Solving -17 + -3x = 1 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -17 + -3x + -1x = 1 + 1x + -1x Combine like terms: -3x + -1x = -4x -17 + -4x = 1 + 1x + -1x Combine like terms: 1x + -1x = 0 -17 + -4x = 1 + 0 -17 + -4x = 1 Add '17' to each side of the equation. -17 + 17 + -4x = 1 + 17 Combine like terms: -17 + 17 = 0 0 + -4x = 1 + 17 -4x = 1 + 17 Combine like terms: 1 + 17 = 18 -4x = 18 Divide each side by '-4'. x = -4.5 Simplifying x = -4.5
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