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Simplifying 6x + -3 = 7 + 2(3x + -5) Reorder the terms: -3 + 6x = 7 + 2(3x + -5) Reorder the terms: -3 + 6x = 7 + 2(-5 + 3x) -3 + 6x = 7 + (-5 * 2 + 3x * 2) -3 + 6x = 7 + (-10 + 6x) Combine like terms: 7 + -10 = -3 -3 + 6x = -3 + 6x Add '3' to each side of the equation. -3 + 3 + 6x = -3 + 3 + 6x Combine like terms: -3 + 3 = 0 0 + 6x = -3 + 3 + 6x 6x = -3 + 3 + 6x Combine like terms: -3 + 3 = 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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