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Simplifying 6[x + -2] + 2 = 2[3x + -5] Reorder the terms: 6[-2 + x] + 2 = 2[3x + -5] [-2 * 6 + x * 6] + 2 = 2[3x + -5] [-12 + 6x] + 2 = 2[3x + -5] Reorder the terms: -12 + 2 + 6x = 2[3x + -5] Combine like terms: -12 + 2 = -10 -10 + 6x = 2[3x + -5] Reorder the terms: -10 + 6x = 2[-5 + 3x] -10 + 6x = [-5 * 2 + 3x * 2] -10 + 6x = [-10 + 6x] Add '10' to each side of the equation. -10 + 10 + 6x = -10 + 10 + 6x Combine like terms: -10 + 10 = 0 0 + 6x = -10 + 10 + 6x 6x = -10 + 10 + 6x Combine like terms: -10 + 10 = 0 6x = 0 + 6x 6x = 6x Add '-6x' to each side of the equation. 6x + -6x = 6x + -6x Combine like terms: 6x + -6x = 0 0 = 6x + -6x Combine like terms: 6x + -6x = 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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