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Simplifying 3(2x + -1) = 2x(x + 3) + 7 Reorder the terms: 3(-1 + 2x) = 2x(x + 3) + 7 (-1 * 3 + 2x * 3) = 2x(x + 3) + 7 (-3 + 6x) = 2x(x + 3) + 7 Reorder the terms: -3 + 6x = 2x(3 + x) + 7 -3 + 6x = (3 * 2x + x * 2x) + 7 -3 + 6x = (6x + 2x2) + 7 Reorder the terms: -3 + 6x = 7 + 6x + 2x2 Add '-6x' to each side of the equation. -3 + 6x + -6x = 7 + 6x + -6x + 2x2 Combine like terms: 6x + -6x = 0 -3 + 0 = 7 + 6x + -6x + 2x2 -3 = 7 + 6x + -6x + 2x2 Combine like terms: 6x + -6x = 0 -3 = 7 + 0 + 2x2 -3 = 7 + 2x2 Solving -3 = 7 + 2x2 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x2' to each side of the equation. -3 + -2x2 = 7 + 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 -3 + -2x2 = 7 + 0 -3 + -2x2 = 7 Add '3' to each side of the equation. -3 + 3 + -2x2 = 7 + 3 Combine like terms: -3 + 3 = 0 0 + -2x2 = 7 + 3 -2x2 = 7 + 3 Combine like terms: 7 + 3 = 10 -2x2 = 10 Divide each side by '-2'. x2 = -5 Simplifying x2 = -5 Reorder the terms: 5 + x2 = -5 + 5 Combine like terms: -5 + 5 = 0 5 + x2 = 0 The solution to this equation could not be determined.
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