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Simplifying 3(4x + 1) = 10x + 2(x + 1.5) Reorder the terms: 3(1 + 4x) = 10x + 2(x + 1.5) (1 * 3 + 4x * 3) = 10x + 2(x + 1.5) (3 + 12x) = 10x + 2(x + 1.5) Reorder the terms: 3 + 12x = 10x + 2(1.5 + x) 3 + 12x = 10x + (1.5 * 2 + x * 2) 3 + 12x = 10x + (3 + 2x) Reorder the terms: 3 + 12x = 3 + 10x + 2x Combine like terms: 10x + 2x = 12x 3 + 12x = 3 + 12x Add '-3' to each side of the equation. 3 + -3 + 12x = 3 + -3 + 12x Combine like terms: 3 + -3 = 0 0 + 12x = 3 + -3 + 12x 12x = 3 + -3 + 12x Combine like terms: 3 + -3 = 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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