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Simplifying 4x + -2(1 + -2x) = 7(x + 1) + x + -9 4x + (1 * -2 + -2x * -2) = 7(x + 1) + x + -9 4x + (-2 + 4x) = 7(x + 1) + x + -9 Reorder the terms: -2 + 4x + 4x = 7(x + 1) + x + -9 Combine like terms: 4x + 4x = 8x -2 + 8x = 7(x + 1) + x + -9 Reorder the terms: -2 + 8x = 7(1 + x) + x + -9 -2 + 8x = (1 * 7 + x * 7) + x + -9 -2 + 8x = (7 + 7x) + x + -9 Reorder the terms: -2 + 8x = 7 + -9 + 7x + x Combine like terms: 7 + -9 = -2 -2 + 8x = -2 + 7x + x Combine like terms: 7x + x = 8x -2 + 8x = -2 + 8x Add '2' to each side of the equation. -2 + 2 + 8x = -2 + 2 + 8x Combine like terms: -2 + 2 = 0 0 + 8x = -2 + 2 + 8x 8x = -2 + 2 + 8x Combine like terms: -2 + 2 = 0 8x = 0 + 8x 8x = 8x Add '-8x' to each side of the equation. 8x + -8x = 8x + -8x Combine like terms: 8x + -8x = 0 0 = 8x + -8x Combine like terms: 8x + -8x = 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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