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Simplifying 2(x + -4) + -7 = 4x + -2(5 + x) Reorder the terms: 2(-4 + x) + -7 = 4x + -2(5 + x) (-4 * 2 + x * 2) + -7 = 4x + -2(5 + x) (-8 + 2x) + -7 = 4x + -2(5 + x) Reorder the terms: -8 + -7 + 2x = 4x + -2(5 + x) Combine like terms: -8 + -7 = -15 -15 + 2x = 4x + -2(5 + x) -15 + 2x = 4x + (5 * -2 + x * -2) -15 + 2x = 4x + (-10 + -2x) Reorder the terms: -15 + 2x = -10 + 4x + -2x Combine like terms: 4x + -2x = 2x -15 + 2x = -10 + 2x Add '-2x' to each side of the equation. -15 + 2x + -2x = -10 + 2x + -2x Combine like terms: 2x + -2x = 0 -15 + 0 = -10 + 2x + -2x -15 = -10 + 2x + -2x Combine like terms: 2x + -2x = 0 -15 = -10 + 0 -15 = -10 Solving -15 = -10 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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