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Simplifying 3(2x + -5) = 4x + -7 + 2(x + -2) Reorder the terms: 3(-5 + 2x) = 4x + -7 + 2(x + -2) (-5 * 3 + 2x * 3) = 4x + -7 + 2(x + -2) (-15 + 6x) = 4x + -7 + 2(x + -2) Reorder the terms: -15 + 6x = 4x + -7 + 2(-2 + x) -15 + 6x = 4x + -7 + (-2 * 2 + x * 2) -15 + 6x = 4x + -7 + (-4 + 2x) Reorder the terms: -15 + 6x = -7 + -4 + 4x + 2x Combine like terms: -7 + -4 = -11 -15 + 6x = -11 + 4x + 2x Combine like terms: 4x + 2x = 6x -15 + 6x = -11 + 6x Add '-6x' to each side of the equation. -15 + 6x + -6x = -11 + 6x + -6x Combine like terms: 6x + -6x = 0 -15 + 0 = -11 + 6x + -6x -15 = -11 + 6x + -6x Combine like terms: 6x + -6x = 0 -15 = -11 + 0 -15 = -11 Solving -15 = -11 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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