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Simplifying 9(x + -7) + x = 10(x + -7) + 7 Reorder the terms: 9(-7 + x) + x = 10(x + -7) + 7 (-7 * 9 + x * 9) + x = 10(x + -7) + 7 (-63 + 9x) + x = 10(x + -7) + 7 Combine like terms: 9x + x = 10x -63 + 10x = 10(x + -7) + 7 Reorder the terms: -63 + 10x = 10(-7 + x) + 7 -63 + 10x = (-7 * 10 + x * 10) + 7 -63 + 10x = (-70 + 10x) + 7 Reorder the terms: -63 + 10x = -70 + 7 + 10x Combine like terms: -70 + 7 = -63 -63 + 10x = -63 + 10x Add '63' to each side of the equation. -63 + 63 + 10x = -63 + 63 + 10x Combine like terms: -63 + 63 = 0 0 + 10x = -63 + 63 + 10x 10x = -63 + 63 + 10x Combine like terms: -63 + 63 = 0 10x = 0 + 10x 10x = 10x Add '-10x' to each side of the equation. 10x + -10x = 10x + -10x Combine like terms: 10x + -10x = 0 0 = 10x + -10x Combine like terms: 10x + -10x = 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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