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Simplifying 6(x + -4) + 13 = 8x + -1(2x + 7) + -4 Reorder the terms: 6(-4 + x) + 13 = 8x + -1(2x + 7) + -4 (-4 * 6 + x * 6) + 13 = 8x + -1(2x + 7) + -4 (-24 + 6x) + 13 = 8x + -1(2x + 7) + -4 Reorder the terms: -24 + 13 + 6x = 8x + -1(2x + 7) + -4 Combine like terms: -24 + 13 = -11 -11 + 6x = 8x + -1(2x + 7) + -4 Reorder the terms: -11 + 6x = 8x + -1(7 + 2x) + -4 -11 + 6x = 8x + (7 * -1 + 2x * -1) + -4 -11 + 6x = 8x + (-7 + -2x) + -4 Reorder the terms: -11 + 6x = -7 + -4 + 8x + -2x Combine like terms: -7 + -4 = -11 -11 + 6x = -11 + 8x + -2x Combine like terms: 8x + -2x = 6x -11 + 6x = -11 + 6x Add '11' to each side of the equation. -11 + 11 + 6x = -11 + 11 + 6x Combine like terms: -11 + 11 = 0 0 + 6x = -11 + 11 + 6x 6x = -11 + 11 + 6x Combine like terms: -11 + 11 = 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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