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Simplifying 7[2 + -1(4 + 2x)] + -4x = -16 + 2(1 + -9x) 7[2 + (4 * -1 + 2x * -1)] + -4x = -16 + 2(1 + -9x) 7[2 + (-4 + -2x)] + -4x = -16 + 2(1 + -9x) Combine like terms: 2 + -4 = -2 7[-2 + -2x] + -4x = -16 + 2(1 + -9x) [-2 * 7 + -2x * 7] + -4x = -16 + 2(1 + -9x) [-14 + -14x] + -4x = -16 + 2(1 + -9x) Combine like terms: -14x + -4x = -18x -14 + -18x = -16 + 2(1 + -9x) -14 + -18x = -16 + (1 * 2 + -9x * 2) -14 + -18x = -16 + (2 + -18x) Combine like terms: -16 + 2 = -14 -14 + -18x = -14 + -18x Add '14' to each side of the equation. -14 + 14 + -18x = -14 + 14 + -18x Combine like terms: -14 + 14 = 0 0 + -18x = -14 + 14 + -18x -18x = -14 + 14 + -18x Combine like terms: -14 + 14 = 0 -18x = 0 + -18x -18x = -18x Add '18x' to each side of the equation. -18x + 18x = -18x + 18x Combine like terms: -18x + 18x = 0 0 = -18x + 18x Combine like terms: -18x + 18x = 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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