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Simplifying 5(2x + 2) = 3(3x + -1) + x + 13 Reorder the terms: 5(2 + 2x) = 3(3x + -1) + x + 13 (2 * 5 + 2x * 5) = 3(3x + -1) + x + 13 (10 + 10x) = 3(3x + -1) + x + 13 Reorder the terms: 10 + 10x = 3(-1 + 3x) + x + 13 10 + 10x = (-1 * 3 + 3x * 3) + x + 13 10 + 10x = (-3 + 9x) + x + 13 Reorder the terms: 10 + 10x = -3 + 13 + 9x + x Combine like terms: -3 + 13 = 10 10 + 10x = 10 + 9x + x Combine like terms: 9x + x = 10x 10 + 10x = 10 + 10x Add '-10' to each side of the equation. 10 + -10 + 10x = 10 + -10 + 10x Combine like terms: 10 + -10 = 0 0 + 10x = 10 + -10 + 10x 10x = 10 + -10 + 10x Combine like terms: 10 + -10 = 0 10x = 0 + 10x 10x = 10x Add '-10x' to each side of the equation. 10x + -10x = 10x + -10x Combine like terms: 10x + -10x = 0 0 = 10x + -10x Combine like terms: 10x + -10x = 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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