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Simplifying 4(x + 7) + -2x = 2(x + -8) + 2 Reorder the terms: 4(7 + x) + -2x = 2(x + -8) + 2 (7 * 4 + x * 4) + -2x = 2(x + -8) + 2 (28 + 4x) + -2x = 2(x + -8) + 2 Combine like terms: 4x + -2x = 2x 28 + 2x = 2(x + -8) + 2 Reorder the terms: 28 + 2x = 2(-8 + x) + 2 28 + 2x = (-8 * 2 + x * 2) + 2 28 + 2x = (-16 + 2x) + 2 Reorder the terms: 28 + 2x = -16 + 2 + 2x Combine like terms: -16 + 2 = -14 28 + 2x = -14 + 2x Add '-2x' to each side of the equation. 28 + 2x + -2x = -14 + 2x + -2x Combine like terms: 2x + -2x = 0 28 + 0 = -14 + 2x + -2x 28 = -14 + 2x + -2x Combine like terms: 2x + -2x = 0 28 = -14 + 0 28 = -14 Solving 28 = -14 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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