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Simplifying 6(2x + 1) = 4x + 8(x + 0.75) Reorder the terms: 6(1 + 2x) = 4x + 8(x + 0.75) (1 * 6 + 2x * 6) = 4x + 8(x + 0.75) (6 + 12x) = 4x + 8(x + 0.75) Reorder the terms: 6 + 12x = 4x + 8(0.75 + x) 6 + 12x = 4x + (0.75 * 8 + x * 8) 6 + 12x = 4x + (6 + 8x) Reorder the terms: 6 + 12x = 6 + 4x + 8x Combine like terms: 4x + 8x = 12x 6 + 12x = 6 + 12x Add '-6' to each side of the equation. 6 + -6 + 12x = 6 + -6 + 12x Combine like terms: 6 + -6 = 0 0 + 12x = 6 + -6 + 12x 12x = 6 + -6 + 12x Combine like terms: 6 + -6 = 0 12x = 0 + 12x 12x = 12x Add '-12x' to each side of the equation. 12x + -12x = 12x + -12x Combine like terms: 12x + -12x = 0 0 = 12x + -12x Combine like terms: 12x + -12x = 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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