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Simplifying 2.5(3x + 6) = 1.5(9x) + -3(2x + -5) Reorder the terms: 2.5(6 + 3x) = 1.5(9x) + -3(2x + -5) (6 * 2.5 + 3x * 2.5) = 1.5(9x) + -3(2x + -5) (15 + 7.5x) = 1.5(9x) + -3(2x + -5) Remove parenthesis around (9x) 15 + 7.5x = 1.5 * 9x + -3(2x + -5) Multiply 1.5 * 9 15 + 7.5x = 13.5x + -3(2x + -5) Reorder the terms: 15 + 7.5x = 13.5x + -3(-5 + 2x) 15 + 7.5x = 13.5x + (-5 * -3 + 2x * -3) 15 + 7.5x = 13.5x + (15 + -6x) Reorder the terms: 15 + 7.5x = 15 + 13.5x + -6x Combine like terms: 13.5x + -6x = 7.5x 15 + 7.5x = 15 + 7.5x Add '-15' to each side of the equation. 15 + -15 + 7.5x = 15 + -15 + 7.5x Combine like terms: 15 + -15 = 0 0 + 7.5x = 15 + -15 + 7.5x 7.5x = 15 + -15 + 7.5x Combine like terms: 15 + -15 = 0 7.5x = 0 + 7.5x 7.5x = 7.5x Add '-7.5x' to each side of the equation. 7.5x + -7.5x = 7.5x + -7.5x Combine like terms: 7.5x + -7.5x = 0.0 0.0 = 7.5x + -7.5x Combine like terms: 7.5x + -7.5x = 0.0 0.0 = 0.0 Solving 0.0 = 0.0 Couldn't find a variable to solve for. This equation is an identity, all real numbers are solutions.
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