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Simplifying 3(x + -24) = 7x + -4(x + 18) Reorder the terms: 3(-24 + x) = 7x + -4(x + 18) (-24 * 3 + x * 3) = 7x + -4(x + 18) (-72 + 3x) = 7x + -4(x + 18) Reorder the terms: -72 + 3x = 7x + -4(18 + x) -72 + 3x = 7x + (18 * -4 + x * -4) -72 + 3x = 7x + (-72 + -4x) Reorder the terms: -72 + 3x = -72 + 7x + -4x Combine like terms: 7x + -4x = 3x -72 + 3x = -72 + 3x Add '72' to each side of the equation. -72 + 72 + 3x = -72 + 72 + 3x Combine like terms: -72 + 72 = 0 0 + 3x = -72 + 72 + 3x 3x = -72 + 72 + 3x Combine like terms: -72 + 72 = 0 3x = 0 + 3x 3x = 3x Add '-3x' to each side of the equation. 3x + -3x = 3x + -3x Combine like terms: 3x + -3x = 0 0 = 3x + -3x Combine like terms: 3x + -3x = 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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