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Simplifying 7[2 + -1(5 + 2x)] + -4x = -23 + 2(1 + -9x) 7[2 + (5 * -1 + 2x * -1)] + -4x = -23 + 2(1 + -9x) 7[2 + (-5 + -2x)] + -4x = -23 + 2(1 + -9x) Combine like terms: 2 + -5 = -3 7[-3 + -2x] + -4x = -23 + 2(1 + -9x) [-3 * 7 + -2x * 7] + -4x = -23 + 2(1 + -9x) [-21 + -14x] + -4x = -23 + 2(1 + -9x) Combine like terms: -14x + -4x = -18x -21 + -18x = -23 + 2(1 + -9x) -21 + -18x = -23 + (1 * 2 + -9x * 2) -21 + -18x = -23 + (2 + -18x) Combine like terms: -23 + 2 = -21 -21 + -18x = -21 + -18x Add '21' to each side of the equation. -21 + 21 + -18x = -21 + 21 + -18x Combine like terms: -21 + 21 = 0 0 + -18x = -21 + 21 + -18x -18x = -21 + 21 + -18x Combine like terms: -21 + 21 = 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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