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Simplifying 5x + -1[3x + 7] = 9 + 2[x + -8] Reorder the terms: 5x + -1[7 + 3x] = 9 + 2[x + -8] 5x + [7 * -1 + 3x * -1] = 9 + 2[x + -8] 5x + [-7 + -3x] = 9 + 2[x + -8] Reorder the terms: -7 + 5x + -3x = 9 + 2[x + -8] Combine like terms: 5x + -3x = 2x -7 + 2x = 9 + 2[x + -8] Reorder the terms: -7 + 2x = 9 + 2[-8 + x] -7 + 2x = 9 + [-8 * 2 + x * 2] -7 + 2x = 9 + [-16 + 2x] Combine like terms: 9 + -16 = -7 -7 + 2x = -7 + 2x Add '7' to each side of the equation. -7 + 7 + 2x = -7 + 7 + 2x Combine like terms: -7 + 7 = 0 0 + 2x = -7 + 7 + 2x 2x = -7 + 7 + 2x Combine like terms: -7 + 7 = 0 2x = 0 + 2x 2x = 2x Add '-2x' to each side of the equation. 2x + -2x = 2x + -2x Combine like terms: 2x + -2x = 0 0 = 2x + -2x Combine like terms: 2x + -2x = 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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