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Simplifying 8(x + 3) + -3x = 2(x + 12) + 3x Reorder the terms: 8(3 + x) + -3x = 2(x + 12) + 3x (3 * 8 + x * 8) + -3x = 2(x + 12) + 3x (24 + 8x) + -3x = 2(x + 12) + 3x Combine like terms: 8x + -3x = 5x 24 + 5x = 2(x + 12) + 3x Reorder the terms: 24 + 5x = 2(12 + x) + 3x 24 + 5x = (12 * 2 + x * 2) + 3x 24 + 5x = (24 + 2x) + 3x Combine like terms: 2x + 3x = 5x 24 + 5x = 24 + 5x Add '-24' to each side of the equation. 24 + -24 + 5x = 24 + -24 + 5x Combine like terms: 24 + -24 = 0 0 + 5x = 24 + -24 + 5x 5x = 24 + -24 + 5x Combine like terms: 24 + -24 = 0 5x = 0 + 5x 5x = 5x Add '-5x' to each side of the equation. 5x + -5x = 5x + -5x Combine like terms: 5x + -5x = 0 0 = 5x + -5x Combine like terms: 5x + -5x = 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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