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Simplifying 10x + 6 = 2x + 2(4x + 3) Reorder the terms: 6 + 10x = 2x + 2(4x + 3) Reorder the terms: 6 + 10x = 2x + 2(3 + 4x) 6 + 10x = 2x + (3 * 2 + 4x * 2) 6 + 10x = 2x + (6 + 8x) Reorder the terms: 6 + 10x = 6 + 2x + 8x Combine like terms: 2x + 8x = 10x 6 + 10x = 6 + 10x Add '-6' to each side of the equation. 6 + -6 + 10x = 6 + -6 + 10x Combine like terms: 6 + -6 = 0 0 + 10x = 6 + -6 + 10x 10x = 6 + -6 + 10x Combine like terms: 6 + -6 = 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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