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Simplifying 4(2x + -3) + -3(2x + 1) = 2x + 15 Reorder the terms: 4(-3 + 2x) + -3(2x + 1) = 2x + 15 (-3 * 4 + 2x * 4) + -3(2x + 1) = 2x + 15 (-12 + 8x) + -3(2x + 1) = 2x + 15 Reorder the terms: -12 + 8x + -3(1 + 2x) = 2x + 15 -12 + 8x + (1 * -3 + 2x * -3) = 2x + 15 -12 + 8x + (-3 + -6x) = 2x + 15 Reorder the terms: -12 + -3 + 8x + -6x = 2x + 15 Combine like terms: -12 + -3 = -15 -15 + 8x + -6x = 2x + 15 Combine like terms: 8x + -6x = 2x -15 + 2x = 2x + 15 Reorder the terms: -15 + 2x = 15 + 2x Add '-2x' to each side of the equation. -15 + 2x + -2x = 15 + 2x + -2x Combine like terms: 2x + -2x = 0 -15 + 0 = 15 + 2x + -2x -15 = 15 + 2x + -2x Combine like terms: 2x + -2x = 0 -15 = 15 + 0 -15 = 15 Solving -15 = 15 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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