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Simplifying 5[x + (x + 1) + (x + 2)] = 5x + (5x + 5) + (5x + 10) Reorder the terms: 5[x + (1 + x) + (x + 2)] = 5x + (5x + 5) + (5x + 10) Remove parenthesis around (1 + x) 5[x + 1 + x + (x + 2)] = 5x + (5x + 5) + (5x + 10) Reorder the terms: 5[x + 1 + x + (2 + x)] = 5x + (5x + 5) + (5x + 10) Remove parenthesis around (2 + x) 5[x + 1 + x + 2 + x] = 5x + (5x + 5) + (5x + 10) Reorder the terms: 5[1 + 2 + x + x + x] = 5x + (5x + 5) + (5x + 10) Combine like terms: 1 + 2 = 3 5[3 + x + x + x] = 5x + (5x + 5) + (5x + 10) Combine like terms: x + x = 2x 5[3 + 2x + x] = 5x + (5x + 5) + (5x + 10) Combine like terms: 2x + x = 3x 5[3 + 3x] = 5x + (5x + 5) + (5x + 10) [3 * 5 + 3x * 5] = 5x + (5x + 5) + (5x + 10) [15 + 15x] = 5x + (5x + 5) + (5x + 10) Reorder the terms: 15 + 15x = 5x + (5 + 5x) + (5x + 10) Remove parenthesis around (5 + 5x) 15 + 15x = 5x + 5 + 5x + (5x + 10) Reorder the terms: 15 + 15x = 5x + 5 + 5x + (10 + 5x) Remove parenthesis around (10 + 5x) 15 + 15x = 5x + 5 + 5x + 10 + 5x Reorder the terms: 15 + 15x = 5 + 10 + 5x + 5x + 5x Combine like terms: 5 + 10 = 15 15 + 15x = 15 + 5x + 5x + 5x Combine like terms: 5x + 5x = 10x 15 + 15x = 15 + 10x + 5x Combine like terms: 10x + 5x = 15x 15 + 15x = 15 + 15x Add '-15' to each side of the equation. 15 + -15 + 15x = 15 + -15 + 15x Combine like terms: 15 + -15 = 0 0 + 15x = 15 + -15 + 15x 15x = 15 + -15 + 15x Combine like terms: 15 + -15 = 0 15x = 0 + 15x 15x = 15x Add '-15x' to each side of the equation. 15x + -15x = 15x + -15x Combine like terms: 15x + -15x = 0 0 = 15x + -15x Combine like terms: 15x + -15x = 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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