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Simplifying 4(3x + 2) + -5(2x + -3) = 2x + -6 Reorder the terms: 4(2 + 3x) + -5(2x + -3) = 2x + -6 (2 * 4 + 3x * 4) + -5(2x + -3) = 2x + -6 (8 + 12x) + -5(2x + -3) = 2x + -6 Reorder the terms: 8 + 12x + -5(-3 + 2x) = 2x + -6 8 + 12x + (-3 * -5 + 2x * -5) = 2x + -6 8 + 12x + (15 + -10x) = 2x + -6 Reorder the terms: 8 + 15 + 12x + -10x = 2x + -6 Combine like terms: 8 + 15 = 23 23 + 12x + -10x = 2x + -6 Combine like terms: 12x + -10x = 2x 23 + 2x = 2x + -6 Reorder the terms: 23 + 2x = -6 + 2x Add '-2x' to each side of the equation. 23 + 2x + -2x = -6 + 2x + -2x Combine like terms: 2x + -2x = 0 23 + 0 = -6 + 2x + -2x 23 = -6 + 2x + -2x Combine like terms: 2x + -2x = 0 23 = -6 + 0 23 = -6 Solving 23 = -6 Couldn't find a variable to solve for. This equation is invalid, the left and right sides are not equal, therefore there is no solution.
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