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Simplifying 8(x + 2) + 6(3 + x) + -8 = 8x + 16 + 6(3 + x) + -8 Reorder the terms: 8(2 + x) + 6(3 + x) + -8 = 8x + 16 + 6(3 + x) + -8 (2 * 8 + x * 8) + 6(3 + x) + -8 = 8x + 16 + 6(3 + x) + -8 (16 + 8x) + 6(3 + x) + -8 = 8x + 16 + 6(3 + x) + -8 16 + 8x + (3 * 6 + x * 6) + -8 = 8x + 16 + 6(3 + x) + -8 16 + 8x + (18 + 6x) + -8 = 8x + 16 + 6(3 + x) + -8 Reorder the terms: 16 + 18 + -8 + 8x + 6x = 8x + 16 + 6(3 + x) + -8 Combine like terms: 16 + 18 = 34 34 + -8 + 8x + 6x = 8x + 16 + 6(3 + x) + -8 Combine like terms: 34 + -8 = 26 26 + 8x + 6x = 8x + 16 + 6(3 + x) + -8 Combine like terms: 8x + 6x = 14x 26 + 14x = 8x + 16 + 6(3 + x) + -8 26 + 14x = 8x + 16 + (3 * 6 + x * 6) + -8 26 + 14x = 8x + 16 + (18 + 6x) + -8 Reorder the terms: 26 + 14x = 16 + 18 + -8 + 8x + 6x Combine like terms: 16 + 18 = 34 26 + 14x = 34 + -8 + 8x + 6x Combine like terms: 34 + -8 = 26 26 + 14x = 26 + 8x + 6x Combine like terms: 8x + 6x = 14x 26 + 14x = 26 + 14x Add '-26' to each side of the equation. 26 + -26 + 14x = 26 + -26 + 14x Combine like terms: 26 + -26 = 0 0 + 14x = 26 + -26 + 14x 14x = 26 + -26 + 14x Combine like terms: 26 + -26 = 0 14x = 0 + 14x 14x = 14x Add '-14x' to each side of the equation. 14x + -14x = 14x + -14x Combine like terms: 14x + -14x = 0 0 = 14x + -14x Combine like terms: 14x + -14x = 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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