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Simplifying 5(2x + 1) + -7 = 10x + -2 Reorder the terms: 5(1 + 2x) + -7 = 10x + -2 (1 * 5 + 2x * 5) + -7 = 10x + -2 (5 + 10x) + -7 = 10x + -2 Reorder the terms: 5 + -7 + 10x = 10x + -2 Combine like terms: 5 + -7 = -2 -2 + 10x = 10x + -2 Reorder the terms: -2 + 10x = -2 + 10x Add '2' to each side of the equation. -2 + 2 + 10x = -2 + 2 + 10x Combine like terms: -2 + 2 = 0 0 + 10x = -2 + 2 + 10x 10x = -2 + 2 + 10x Combine like terms: -2 + 2 = 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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