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Simplifying 2(x + -7) + 2x = 4(x + 7) + -42 Reorder the terms: 2(-7 + x) + 2x = 4(x + 7) + -42 (-7 * 2 + x * 2) + 2x = 4(x + 7) + -42 (-14 + 2x) + 2x = 4(x + 7) + -42 Combine like terms: 2x + 2x = 4x -14 + 4x = 4(x + 7) + -42 Reorder the terms: -14 + 4x = 4(7 + x) + -42 -14 + 4x = (7 * 4 + x * 4) + -42 -14 + 4x = (28 + 4x) + -42 Reorder the terms: -14 + 4x = 28 + -42 + 4x Combine like terms: 28 + -42 = -14 -14 + 4x = -14 + 4x Add '14' to each side of the equation. -14 + 14 + 4x = -14 + 14 + 4x Combine like terms: -14 + 14 = 0 0 + 4x = -14 + 14 + 4x 4x = -14 + 14 + 4x Combine like terms: -14 + 14 = 0 4x = 0 + 4x 4x = 4x Add '-4x' to each side of the equation. 4x + -4x = 4x + -4x Combine like terms: 4x + -4x = 0 0 = 4x + -4x Combine like terms: 4x + -4x = 0 0 = 0 Solving 0 = 0 Couldn't find a variable to solve for. This equation is an identity, all real numbers are solutions.
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