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Simplifying 3x + 2(x + -5) = 6(x + -2) + -1(x + 3) Reorder the terms: 3x + 2(-5 + x) = 6(x + -2) + -1(x + 3) 3x + (-5 * 2 + x * 2) = 6(x + -2) + -1(x + 3) 3x + (-10 + 2x) = 6(x + -2) + -1(x + 3) Reorder the terms: -10 + 3x + 2x = 6(x + -2) + -1(x + 3) Combine like terms: 3x + 2x = 5x -10 + 5x = 6(x + -2) + -1(x + 3) Reorder the terms: -10 + 5x = 6(-2 + x) + -1(x + 3) -10 + 5x = (-2 * 6 + x * 6) + -1(x + 3) -10 + 5x = (-12 + 6x) + -1(x + 3) Reorder the terms: -10 + 5x = -12 + 6x + -1(3 + x) -10 + 5x = -12 + 6x + (3 * -1 + x * -1) -10 + 5x = -12 + 6x + (-3 + -1x) Reorder the terms: -10 + 5x = -12 + -3 + 6x + -1x Combine like terms: -12 + -3 = -15 -10 + 5x = -15 + 6x + -1x Combine like terms: 6x + -1x = 5x -10 + 5x = -15 + 5x Add '-5x' to each side of the equation. -10 + 5x + -5x = -15 + 5x + -5x Combine like terms: 5x + -5x = 0 -10 + 0 = -15 + 5x + -5x -10 = -15 + 5x + -5x Combine like terms: 5x + -5x = 0 -10 = -15 + 0 -10 = -15 Solving -10 = -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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