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