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Simplifying 5x + -3(1 + x) = 2(-7 + x + -1) + -7 5x + (1 * -3 + x * -3) = 2(-7 + x + -1) + -7 5x + (-3 + -3x) = 2(-7 + x + -1) + -7 Reorder the terms: -3 + 5x + -3x = 2(-7 + x + -1) + -7 Combine like terms: 5x + -3x = 2x -3 + 2x = 2(-7 + x + -1) + -7 Reorder the terms: -3 + 2x = 2(-7 + -1 + x) + -7 Combine like terms: -7 + -1 = -8 -3 + 2x = 2(-8 + x) + -7 -3 + 2x = (-8 * 2 + x * 2) + -7 -3 + 2x = (-16 + 2x) + -7 Reorder the terms: -3 + 2x = -16 + -7 + 2x Combine like terms: -16 + -7 = -23 -3 + 2x = -23 + 2x Add '-2x' to each side of the equation. -3 + 2x + -2x = -23 + 2x + -2x Combine like terms: 2x + -2x = 0 -3 + 0 = -23 + 2x + -2x -3 = -23 + 2x + -2x Combine like terms: 2x + -2x = 0 -3 = -23 + 0 -3 = -23 Solving -3 = -23 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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