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Simplifying 4x + -3(x + 5) = 2(2x + -3) + -3(x + 5) Reorder the terms: 4x + -3(5 + x) = 2(2x + -3) + -3(x + 5) 4x + (5 * -3 + x * -3) = 2(2x + -3) + -3(x + 5) 4x + (-15 + -3x) = 2(2x + -3) + -3(x + 5) Reorder the terms: -15 + 4x + -3x = 2(2x + -3) + -3(x + 5) Combine like terms: 4x + -3x = 1x -15 + 1x = 2(2x + -3) + -3(x + 5) Reorder the terms: -15 + 1x = 2(-3 + 2x) + -3(x + 5) -15 + 1x = (-3 * 2 + 2x * 2) + -3(x + 5) -15 + 1x = (-6 + 4x) + -3(x + 5) Reorder the terms: -15 + 1x = -6 + 4x + -3(5 + x) -15 + 1x = -6 + 4x + (5 * -3 + x * -3) -15 + 1x = -6 + 4x + (-15 + -3x) Reorder the terms: -15 + 1x = -6 + -15 + 4x + -3x Combine like terms: -6 + -15 = -21 -15 + 1x = -21 + 4x + -3x Combine like terms: 4x + -3x = 1x -15 + 1x = -21 + 1x Add '-1x' to each side of the equation. -15 + 1x + -1x = -21 + 1x + -1x Combine like terms: 1x + -1x = 0 -15 + 0 = -21 + 1x + -1x -15 = -21 + 1x + -1x Combine like terms: 1x + -1x = 0 -15 = -21 + 0 -15 = -21 Solving -15 = -21 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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