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Simplifying 7(x + 4) + -1(x + 1) = -3(-2x + -9) Reorder the terms: 7(4 + x) + -1(x + 1) = -3(-2x + -9) (4 * 7 + x * 7) + -1(x + 1) = -3(-2x + -9) (28 + 7x) + -1(x + 1) = -3(-2x + -9) Reorder the terms: 28 + 7x + -1(1 + x) = -3(-2x + -9) 28 + 7x + (1 * -1 + x * -1) = -3(-2x + -9) 28 + 7x + (-1 + -1x) = -3(-2x + -9) Reorder the terms: 28 + -1 + 7x + -1x = -3(-2x + -9) Combine like terms: 28 + -1 = 27 27 + 7x + -1x = -3(-2x + -9) Combine like terms: 7x + -1x = 6x 27 + 6x = -3(-2x + -9) Reorder the terms: 27 + 6x = -3(-9 + -2x) 27 + 6x = (-9 * -3 + -2x * -3) 27 + 6x = (27 + 6x) Add '-27' to each side of the equation. 27 + -27 + 6x = 27 + -27 + 6x Combine like terms: 27 + -27 = 0 0 + 6x = 27 + -27 + 6x 6x = 27 + -27 + 6x Combine like terms: 27 + -27 = 0 6x = 0 + 6x 6x = 6x Add '-6x' to each side of the equation. 6x + -6x = 6x + -6x Combine like terms: 6x + -6x = 0 0 = 6x + -6x Combine like terms: 6x + -6x = 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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