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Simplifying 5x + -3(2x + -1) = 7 + -1(x + 4) Reorder the terms: 5x + -3(-1 + 2x) = 7 + -1(x + 4) 5x + (-1 * -3 + 2x * -3) = 7 + -1(x + 4) 5x + (3 + -6x) = 7 + -1(x + 4) Reorder the terms: 3 + 5x + -6x = 7 + -1(x + 4) Combine like terms: 5x + -6x = -1x 3 + -1x = 7 + -1(x + 4) Reorder the terms: 3 + -1x = 7 + -1(4 + x) 3 + -1x = 7 + (4 * -1 + x * -1) 3 + -1x = 7 + (-4 + -1x) Combine like terms: 7 + -4 = 3 3 + -1x = 3 + -1x Add '-3' to each side of the equation. 3 + -3 + -1x = 3 + -3 + -1x Combine like terms: 3 + -3 = 0 0 + -1x = 3 + -3 + -1x -1x = 3 + -3 + -1x Combine like terms: 3 + -3 = 0 -1x = 0 + -1x -1x = -1x Add 'x' to each side of the equation. -1x + x = -1x + x Combine like terms: -1x + x = 0 0 = -1x + x Combine like terms: -1x + x = 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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