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Simplifying 6x + -2(7 + 3x) = 4x + -4(5 + x) + 6 6x + (7 * -2 + 3x * -2) = 4x + -4(5 + x) + 6 6x + (-14 + -6x) = 4x + -4(5 + x) + 6 Reorder the terms: -14 + 6x + -6x = 4x + -4(5 + x) + 6 Combine like terms: 6x + -6x = 0 -14 + 0 = 4x + -4(5 + x) + 6 -14 = 4x + -4(5 + x) + 6 -14 = 4x + (5 * -4 + x * -4) + 6 -14 = 4x + (-20 + -4x) + 6 Reorder the terms: -14 = -20 + 6 + 4x + -4x Combine like terms: -20 + 6 = -14 -14 = -14 + 4x + -4x Combine like terms: 4x + -4x = 0 -14 = -14 + 0 -14 = -14 Add '14' to each side of the equation. -14 + 14 = -14 + 14 Combine like terms: -14 + 14 = 0 0 = -14 + 14 Combine like terms: -14 + 14 = 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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