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Simplifying 7 + 2(x + 1) = -4x + 2(3x + 6) + -3 Reorder the terms: 7 + 2(1 + x) = -4x + 2(3x + 6) + -3 7 + (1 * 2 + x * 2) = -4x + 2(3x + 6) + -3 7 + (2 + 2x) = -4x + 2(3x + 6) + -3 Combine like terms: 7 + 2 = 9 9 + 2x = -4x + 2(3x + 6) + -3 Reorder the terms: 9 + 2x = -4x + 2(6 + 3x) + -3 9 + 2x = -4x + (6 * 2 + 3x * 2) + -3 9 + 2x = -4x + (12 + 6x) + -3 Reorder the terms: 9 + 2x = 12 + -3 + -4x + 6x Combine like terms: 12 + -3 = 9 9 + 2x = 9 + -4x + 6x Combine like terms: -4x + 6x = 2x 9 + 2x = 9 + 2x Add '-9' to each side of the equation. 9 + -9 + 2x = 9 + -9 + 2x Combine like terms: 9 + -9 = 0 0 + 2x = 9 + -9 + 2x 2x = 9 + -9 + 2x Combine like terms: 9 + -9 = 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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