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Simplifying 18(x + -3) = 6(3x + 5) + -84 Reorder the terms: 18(-3 + x) = 6(3x + 5) + -84 (-3 * 18 + x * 18) = 6(3x + 5) + -84 (-54 + 18x) = 6(3x + 5) + -84 Reorder the terms: -54 + 18x = 6(5 + 3x) + -84 -54 + 18x = (5 * 6 + 3x * 6) + -84 -54 + 18x = (30 + 18x) + -84 Reorder the terms: -54 + 18x = 30 + -84 + 18x Combine like terms: 30 + -84 = -54 -54 + 18x = -54 + 18x Add '54' to each side of the equation. -54 + 54 + 18x = -54 + 54 + 18x Combine like terms: -54 + 54 = 0 0 + 18x = -54 + 54 + 18x 18x = -54 + 54 + 18x Combine like terms: -54 + 54 = 0 18x = 0 + 18x 18x = 18x Add '-18x' to each side of the equation. 18x + -18x = 18x + -18x Combine like terms: 18x + -18x = 0 0 = 18x + -18x Combine like terms: 18x + -18x = 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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