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Simplifying 5(x + -9) + x = 6(x + -9) + 9 Reorder the terms: 5(-9 + x) + x = 6(x + -9) + 9 (-9 * 5 + x * 5) + x = 6(x + -9) + 9 (-45 + 5x) + x = 6(x + -9) + 9 Combine like terms: 5x + x = 6x -45 + 6x = 6(x + -9) + 9 Reorder the terms: -45 + 6x = 6(-9 + x) + 9 -45 + 6x = (-9 * 6 + x * 6) + 9 -45 + 6x = (-54 + 6x) + 9 Reorder the terms: -45 + 6x = -54 + 9 + 6x Combine like terms: -54 + 9 = -45 -45 + 6x = -45 + 6x Add '45' to each side of the equation. -45 + 45 + 6x = -45 + 45 + 6x Combine like terms: -45 + 45 = 0 0 + 6x = -45 + 45 + 6x 6x = -45 + 45 + 6x Combine like terms: -45 + 45 = 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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