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Simplifying 6(5x + -2) = 9x + 3(7x + -4) Reorder the terms: 6(-2 + 5x) = 9x + 3(7x + -4) (-2 * 6 + 5x * 6) = 9x + 3(7x + -4) (-12 + 30x) = 9x + 3(7x + -4) Reorder the terms: -12 + 30x = 9x + 3(-4 + 7x) -12 + 30x = 9x + (-4 * 3 + 7x * 3) -12 + 30x = 9x + (-12 + 21x) Reorder the terms: -12 + 30x = -12 + 9x + 21x Combine like terms: 9x + 21x = 30x -12 + 30x = -12 + 30x Add '12' to each side of the equation. -12 + 12 + 30x = -12 + 12 + 30x Combine like terms: -12 + 12 = 0 0 + 30x = -12 + 12 + 30x 30x = -12 + 12 + 30x Combine like terms: -12 + 12 = 0 30x = 0 + 30x 30x = 30x Add '-30x' to each side of the equation. 30x + -30x = 30x + -30x Combine like terms: 30x + -30x = 0 0 = 30x + -30x Combine like terms: 30x + -30x = 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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