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Simplifying 7 + 2(x + -6) = -3 + 2(x + -1) Reorder the terms: 7 + 2(-6 + x) = -3 + 2(x + -1) 7 + (-6 * 2 + x * 2) = -3 + 2(x + -1) 7 + (-12 + 2x) = -3 + 2(x + -1) Combine like terms: 7 + -12 = -5 -5 + 2x = -3 + 2(x + -1) Reorder the terms: -5 + 2x = -3 + 2(-1 + x) -5 + 2x = -3 + (-1 * 2 + x * 2) -5 + 2x = -3 + (-2 + 2x) Combine like terms: -3 + -2 = -5 -5 + 2x = -5 + 2x Add '5' to each side of the equation. -5 + 5 + 2x = -5 + 5 + 2x Combine like terms: -5 + 5 = 0 0 + 2x = -5 + 5 + 2x 2x = -5 + 5 + 2x Combine like terms: -5 + 5 = 0 2x = 0 + 2x 2x = 2x Add '-2x' to each side of the equation. 2x + -2x = 2x + -2x Combine like terms: 2x + -2x = 0 0 = 2x + -2x Combine like terms: 2x + -2x = 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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