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Simplifying 3(4x + -6) = 5(x + -7) + 7x + 17 Reorder the terms: 3(-6 + 4x) = 5(x + -7) + 7x + 17 (-6 * 3 + 4x * 3) = 5(x + -7) + 7x + 17 (-18 + 12x) = 5(x + -7) + 7x + 17 Reorder the terms: -18 + 12x = 5(-7 + x) + 7x + 17 -18 + 12x = (-7 * 5 + x * 5) + 7x + 17 -18 + 12x = (-35 + 5x) + 7x + 17 Reorder the terms: -18 + 12x = -35 + 17 + 5x + 7x Combine like terms: -35 + 17 = -18 -18 + 12x = -18 + 5x + 7x Combine like terms: 5x + 7x = 12x -18 + 12x = -18 + 12x Add '18' to each side of the equation. -18 + 18 + 12x = -18 + 18 + 12x Combine like terms: -18 + 18 = 0 0 + 12x = -18 + 18 + 12x 12x = -18 + 18 + 12x Combine like terms: -18 + 18 = 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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