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Simplifying 2(3x2 + -4) = 3(x2 + -3) Reorder the terms: 2(-4 + 3x2) = 3(x2 + -3) (-4 * 2 + 3x2 * 2) = 3(x2 + -3) (-8 + 6x2) = 3(x2 + -3) Reorder the terms: -8 + 6x2 = 3(-3 + x2) -8 + 6x2 = (-3 * 3 + x2 * 3) -8 + 6x2 = (-9 + 3x2) Solving -8 + 6x2 = -9 + 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. -8 + 6x2 + -3x2 = -9 + 3x2 + -3x2 Combine like terms: 6x2 + -3x2 = 3x2 -8 + 3x2 = -9 + 3x2 + -3x2 Combine like terms: 3x2 + -3x2 = 0 -8 + 3x2 = -9 + 0 -8 + 3x2 = -9 Add '8' to each side of the equation. -8 + 8 + 3x2 = -9 + 8 Combine like terms: -8 + 8 = 0 0 + 3x2 = -9 + 8 3x2 = -9 + 8 Combine like terms: -9 + 8 = -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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