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Simplifying 5x + 3 = 2(x + 3) + -3(1 + -1x) Reorder the terms: 3 + 5x = 2(x + 3) + -3(1 + -1x) Reorder the terms: 3 + 5x = 2(3 + x) + -3(1 + -1x) 3 + 5x = (3 * 2 + x * 2) + -3(1 + -1x) 3 + 5x = (6 + 2x) + -3(1 + -1x) 3 + 5x = 6 + 2x + (1 * -3 + -1x * -3) 3 + 5x = 6 + 2x + (-3 + 3x) Reorder the terms: 3 + 5x = 6 + -3 + 2x + 3x Combine like terms: 6 + -3 = 3 3 + 5x = 3 + 2x + 3x Combine like terms: 2x + 3x = 5x 3 + 5x = 3 + 5x Add '-3' to each side of the equation. 3 + -3 + 5x = 3 + -3 + 5x Combine like terms: 3 + -3 = 0 0 + 5x = 3 + -3 + 5x 5x = 3 + -3 + 5x Combine like terms: 3 + -3 = 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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