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Simplifying 5(2x + -9) + -9 = 10x + -54 Reorder the terms: 5(-9 + 2x) + -9 = 10x + -54 (-9 * 5 + 2x * 5) + -9 = 10x + -54 (-45 + 10x) + -9 = 10x + -54 Reorder the terms: -45 + -9 + 10x = 10x + -54 Combine like terms: -45 + -9 = -54 -54 + 10x = 10x + -54 Reorder the terms: -54 + 10x = -54 + 10x Add '54' to each side of the equation. -54 + 54 + 10x = -54 + 54 + 10x Combine like terms: -54 + 54 = 0 0 + 10x = -54 + 54 + 10x 10x = -54 + 54 + 10x Combine like terms: -54 + 54 = 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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