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Simplifying 2(3x + -5) = 6(x + -3) + 8 Reorder the terms: 2(-5 + 3x) = 6(x + -3) + 8 (-5 * 2 + 3x * 2) = 6(x + -3) + 8 (-10 + 6x) = 6(x + -3) + 8 Reorder the terms: -10 + 6x = 6(-3 + x) + 8 -10 + 6x = (-3 * 6 + x * 6) + 8 -10 + 6x = (-18 + 6x) + 8 Reorder the terms: -10 + 6x = -18 + 8 + 6x Combine like terms: -18 + 8 = -10 -10 + 6x = -10 + 6x Add '10' to each side of the equation. -10 + 10 + 6x = -10 + 10 + 6x Combine like terms: -10 + 10 = 0 0 + 6x = -10 + 10 + 6x 6x = -10 + 10 + 6x Combine like terms: -10 + 10 = 0 6x = 0 + 6x 6x = 6x Add '-6x' to each side of the equation. 6x + -6x = 6x + -6x Combine like terms: 6x + -6x = 0 0 = 6x + -6x Combine like terms: 6x + -6x = 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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