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Simplifying (1 + 3x) = (4(0.5 + 0.75x) + -1) Remove parenthesis around (1 + 3x) 1 + 3x = (4(0.5 + 0.75x) + -1) 1 + 3x = ((0.5 * 4 + 0.75x * 4) + -1) 1 + 3x = ((2 + 3x) + -1) Reorder the terms: 1 + 3x = (2 + -1 + 3x) Combine like terms: 2 + -1 = 1 1 + 3x = (1 + 3x) Remove parenthesis around (1 + 3x) 1 + 3x = 1 + 3x Add '-1' to each side of the equation. 1 + -1 + 3x = 1 + -1 + 3x Combine like terms: 1 + -1 = 0 0 + 3x = 1 + -1 + 3x 3x = 1 + -1 + 3x Combine like terms: 1 + -1 = 0 3x = 0 + 3x 3x = 3x Add '-3x' to each side of the equation. 3x + -3x = 3x + -3x Combine like terms: 3x + -3x = 0 0 = 3x + -3x Combine like terms: 3x + -3x = 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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