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Simplifying 8(x + -4) + x = 9(x + -5) + 13 Reorder the terms: 8(-4 + x) + x = 9(x + -5) + 13 (-4 * 8 + x * 8) + x = 9(x + -5) + 13 (-32 + 8x) + x = 9(x + -5) + 13 Combine like terms: 8x + x = 9x -32 + 9x = 9(x + -5) + 13 Reorder the terms: -32 + 9x = 9(-5 + x) + 13 -32 + 9x = (-5 * 9 + x * 9) + 13 -32 + 9x = (-45 + 9x) + 13 Reorder the terms: -32 + 9x = -45 + 13 + 9x Combine like terms: -45 + 13 = -32 -32 + 9x = -32 + 9x Add '32' to each side of the equation. -32 + 32 + 9x = -32 + 32 + 9x Combine like terms: -32 + 32 = 0 0 + 9x = -32 + 32 + 9x 9x = -32 + 32 + 9x Combine like terms: -32 + 32 = 0 9x = 0 + 9x 9x = 9x Add '-9x' to each side of the equation. 9x + -9x = 9x + -9x Combine like terms: 9x + -9x = 0 0 = 9x + -9x Combine like terms: 9x + -9x = 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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