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Simplifying 6(x + -9) + x = 7(x + -9) + 9 Reorder the terms: 6(-9 + x) + x = 7(x + -9) + 9 (-9 * 6 + x * 6) + x = 7(x + -9) + 9 (-54 + 6x) + x = 7(x + -9) + 9 Combine like terms: 6x + x = 7x -54 + 7x = 7(x + -9) + 9 Reorder the terms: -54 + 7x = 7(-9 + x) + 9 -54 + 7x = (-9 * 7 + x * 7) + 9 -54 + 7x = (-63 + 7x) + 9 Reorder the terms: -54 + 7x = -63 + 9 + 7x Combine like terms: -63 + 9 = -54 -54 + 7x = -54 + 7x Add '54' to each side of the equation. -54 + 54 + 7x = -54 + 54 + 7x Combine like terms: -54 + 54 = 0 0 + 7x = -54 + 54 + 7x 7x = -54 + 54 + 7x Combine like terms: -54 + 54 = 0 7x = 0 + 7x 7x = 7x Add '-7x' to each side of the equation. 7x + -7x = 7x + -7x Combine like terms: 7x + -7x = 0 0 = 7x + -7x Combine like terms: 7x + -7x = 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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