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Simplifying 5(x + 3) + -2x = 3(x + 1) + 12 Reorder the terms: 5(3 + x) + -2x = 3(x + 1) + 12 (3 * 5 + x * 5) + -2x = 3(x + 1) + 12 (15 + 5x) + -2x = 3(x + 1) + 12 Combine like terms: 5x + -2x = 3x 15 + 3x = 3(x + 1) + 12 Reorder the terms: 15 + 3x = 3(1 + x) + 12 15 + 3x = (1 * 3 + x * 3) + 12 15 + 3x = (3 + 3x) + 12 Reorder the terms: 15 + 3x = 3 + 12 + 3x Combine like terms: 3 + 12 = 15 15 + 3x = 15 + 3x Add '-15' to each side of the equation. 15 + -15 + 3x = 15 + -15 + 3x Combine like terms: 15 + -15 = 0 0 + 3x = 15 + -15 + 3x 3x = 15 + -15 + 3x Combine like terms: 15 + -15 = 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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