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Simplifying 2(x + 3) + -5 = 5x + -3x(1 + x) Reorder the terms: 2(3 + x) + -5 = 5x + -3x(1 + x) (3 * 2 + x * 2) + -5 = 5x + -3x(1 + x) (6 + 2x) + -5 = 5x + -3x(1 + x) Reorder the terms: 6 + -5 + 2x = 5x + -3x(1 + x) Combine like terms: 6 + -5 = 1 1 + 2x = 5x + -3x(1 + x) 1 + 2x = 5x + (1 * -3x + x * -3x) 1 + 2x = 5x + (-3x + -3x2) Combine like terms: 5x + -3x = 2x 1 + 2x = 2x + -3x2 Add '-2x' to each side of the equation. 1 + 2x + -2x = 2x + -2x + -3x2 Combine like terms: 2x + -2x = 0 1 + 0 = 2x + -2x + -3x2 1 = 2x + -2x + -3x2 Combine like terms: 2x + -2x = 0 1 = 0 + -3x2 1 = -3x2 Solving 1 = -3x2 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x2' to each side of the equation. 1 + 3x2 = -3x2 + 3x2 Combine like terms: -3x2 + 3x2 = 0 1 + 3x2 = 0 Add '-1' to each side of the equation. 1 + -1 + 3x2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 3x2 = 0 + -1 3x2 = 0 + -1 Combine like terms: 0 + -1 = -1 3x2 = -1 Divide each side by '3'. x2 = -0.3333333333 Simplifying x2 = -0.3333333333 Reorder the terms: 0.3333333333 + x2 = -0.3333333333 + 0.3333333333 Combine like terms: -0.3333333333 + 0.3333333333 = 0.0000000000 0.3333333333 + x2 = 0.0000000000 The solution to this equation could not be determined.
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