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Simplifying 24(x + -3) = 6(4x + 5) + -102 Reorder the terms: 24(-3 + x) = 6(4x + 5) + -102 (-3 * 24 + x * 24) = 6(4x + 5) + -102 (-72 + 24x) = 6(4x + 5) + -102 Reorder the terms: -72 + 24x = 6(5 + 4x) + -102 -72 + 24x = (5 * 6 + 4x * 6) + -102 -72 + 24x = (30 + 24x) + -102 Reorder the terms: -72 + 24x = 30 + -102 + 24x Combine like terms: 30 + -102 = -72 -72 + 24x = -72 + 24x Add '72' to each side of the equation. -72 + 72 + 24x = -72 + 72 + 24x Combine like terms: -72 + 72 = 0 0 + 24x = -72 + 72 + 24x 24x = -72 + 72 + 24x Combine like terms: -72 + 72 = 0 24x = 0 + 24x 24x = 24x Add '-24x' to each side of the equation. 24x + -24x = 24x + -24x Combine like terms: 24x + -24x = 0 0 = 24x + -24x Combine like terms: 24x + -24x = 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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