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Simplifying 3x + -2 + 1x + 8 = 0.5(9x + 7 + -1x + 5) Reorder the terms: -2 + 8 + 3x + 1x = 0.5(9x + 7 + -1x + 5) Combine like terms: -2 + 8 = 6 6 + 3x + 1x = 0.5(9x + 7 + -1x + 5) Combine like terms: 3x + 1x = 4x 6 + 4x = 0.5(9x + 7 + -1x + 5) Reorder the terms: 6 + 4x = 0.5(7 + 5 + 9x + -1x) Combine like terms: 7 + 5 = 12 6 + 4x = 0.5(12 + 9x + -1x) Combine like terms: 9x + -1x = 8x 6 + 4x = 0.5(12 + 8x) 6 + 4x = (12 * 0.5 + 8x * 0.5) 6 + 4x = (6 + 4x) Add '-6' to each side of the equation. 6 + -6 + 4x = 6 + -6 + 4x Combine like terms: 6 + -6 = 0 0 + 4x = 6 + -6 + 4x 4x = 6 + -6 + 4x Combine like terms: 6 + -6 = 0 4x = 0 + 4x 4x = 4x Add '-4x' to each side of the equation. 4x + -4x = 4x + -4x Combine like terms: 4x + -4x = 0 0 = 4x + -4x Combine like terms: 4x + -4x = 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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