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Simplifying 3(x + 2) = 1.5(4 + 2x) Reorder the terms: 3(2 + x) = 1.5(4 + 2x) (2 * 3 + x * 3) = 1.5(4 + 2x) (6 + 3x) = 1.5(4 + 2x) 6 + 3x = (4 * 1.5 + 2x * 1.5) 6 + 3x = (6 + 3x) Add '-6' to each side of the equation. 6 + -6 + 3x = 6 + -6 + 3x Combine like terms: 6 + -6 = 0 0 + 3x = 6 + -6 + 3x 3x = 6 + -6 + 3x Combine like terms: 6 + -6 = 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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