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Simplifying 8(x + 2) = 6(x + -2) + 2(x + 14) Reorder the terms: 8(2 + x) = 6(x + -2) + 2(x + 14) (2 * 8 + x * 8) = 6(x + -2) + 2(x + 14) (16 + 8x) = 6(x + -2) + 2(x + 14) Reorder the terms: 16 + 8x = 6(-2 + x) + 2(x + 14) 16 + 8x = (-2 * 6 + x * 6) + 2(x + 14) 16 + 8x = (-12 + 6x) + 2(x + 14) Reorder the terms: 16 + 8x = -12 + 6x + 2(14 + x) 16 + 8x = -12 + 6x + (14 * 2 + x * 2) 16 + 8x = -12 + 6x + (28 + 2x) Reorder the terms: 16 + 8x = -12 + 28 + 6x + 2x Combine like terms: -12 + 28 = 16 16 + 8x = 16 + 6x + 2x Combine like terms: 6x + 2x = 8x 16 + 8x = 16 + 8x Add '-16' to each side of the equation. 16 + -16 + 8x = 16 + -16 + 8x Combine like terms: 16 + -16 = 0 0 + 8x = 16 + -16 + 8x 8x = 16 + -16 + 8x Combine like terms: 16 + -16 = 0 8x = 0 + 8x 8x = 8x Add '-8x' to each side of the equation. 8x + -8x = 8x + -8x Combine like terms: 8x + -8x = 0 0 = 8x + -8x Combine like terms: 8x + -8x = 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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