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Simplifying 4(x + -3) + 3x = 2(3x + -5) + -1(1 + -1x) Reorder the terms: 4(-3 + x) + 3x = 2(3x + -5) + -1(1 + -1x) (-3 * 4 + x * 4) + 3x = 2(3x + -5) + -1(1 + -1x) (-12 + 4x) + 3x = 2(3x + -5) + -1(1 + -1x) Combine like terms: 4x + 3x = 7x -12 + 7x = 2(3x + -5) + -1(1 + -1x) Reorder the terms: -12 + 7x = 2(-5 + 3x) + -1(1 + -1x) -12 + 7x = (-5 * 2 + 3x * 2) + -1(1 + -1x) -12 + 7x = (-10 + 6x) + -1(1 + -1x) -12 + 7x = -10 + 6x + (1 * -1 + -1x * -1) -12 + 7x = -10 + 6x + (-1 + 1x) Reorder the terms: -12 + 7x = -10 + -1 + 6x + 1x Combine like terms: -10 + -1 = -11 -12 + 7x = -11 + 6x + 1x Combine like terms: 6x + 1x = 7x -12 + 7x = -11 + 7x Add '-7x' to each side of the equation. -12 + 7x + -7x = -11 + 7x + -7x Combine like terms: 7x + -7x = 0 -12 + 0 = -11 + 7x + -7x -12 = -11 + 7x + -7x Combine like terms: 7x + -7x = 0 -12 = -11 + 0 -12 = -11 Solving -12 = -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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