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Simplifying 5(2x + 3) + 7 = 3 + -2(-5x + 1) + 21 Reorder the terms: 5(3 + 2x) + 7 = 3 + -2(-5x + 1) + 21 (3 * 5 + 2x * 5) + 7 = 3 + -2(-5x + 1) + 21 (15 + 10x) + 7 = 3 + -2(-5x + 1) + 21 Reorder the terms: 15 + 7 + 10x = 3 + -2(-5x + 1) + 21 Combine like terms: 15 + 7 = 22 22 + 10x = 3 + -2(-5x + 1) + 21 Reorder the terms: 22 + 10x = 3 + -2(1 + -5x) + 21 22 + 10x = 3 + (1 * -2 + -5x * -2) + 21 22 + 10x = 3 + (-2 + 10x) + 21 Reorder the terms: 22 + 10x = 3 + -2 + 21 + 10x Combine like terms: 3 + -2 = 1 22 + 10x = 1 + 21 + 10x Combine like terms: 1 + 21 = 22 22 + 10x = 22 + 10x Add '-22' to each side of the equation. 22 + -22 + 10x = 22 + -22 + 10x Combine like terms: 22 + -22 = 0 0 + 10x = 22 + -22 + 10x 10x = 22 + -22 + 10x Combine like terms: 22 + -22 = 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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