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Simplifying 5(x + 2) + -3x = 2(x + 1) + 8 Reorder the terms: 5(2 + x) + -3x = 2(x + 1) + 8 (2 * 5 + x * 5) + -3x = 2(x + 1) + 8 (10 + 5x) + -3x = 2(x + 1) + 8 Combine like terms: 5x + -3x = 2x 10 + 2x = 2(x + 1) + 8 Reorder the terms: 10 + 2x = 2(1 + x) + 8 10 + 2x = (1 * 2 + x * 2) + 8 10 + 2x = (2 + 2x) + 8 Reorder the terms: 10 + 2x = 2 + 8 + 2x Combine like terms: 2 + 8 = 10 10 + 2x = 10 + 2x Add '-10' to each side of the equation. 10 + -10 + 2x = 10 + -10 + 2x Combine like terms: 10 + -10 = 0 0 + 2x = 10 + -10 + 2x 2x = 10 + -10 + 2x Combine like terms: 10 + -10 = 0 2x = 0 + 2x 2x = 2x Add '-2x' to each side of the equation. 2x + -2x = 2x + -2x Combine like terms: 2x + -2x = 0 0 = 2x + -2x Combine like terms: 2x + -2x = 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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