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Simplifying 7(2x + -3) + 6 = 12x + -15 + 2x Reorder the terms: 7(-3 + 2x) + 6 = 12x + -15 + 2x (-3 * 7 + 2x * 7) + 6 = 12x + -15 + 2x (-21 + 14x) + 6 = 12x + -15 + 2x Reorder the terms: -21 + 6 + 14x = 12x + -15 + 2x Combine like terms: -21 + 6 = -15 -15 + 14x = 12x + -15 + 2x Reorder the terms: -15 + 14x = -15 + 12x + 2x Combine like terms: 12x + 2x = 14x -15 + 14x = -15 + 14x Add '15' to each side of the equation. -15 + 15 + 14x = -15 + 15 + 14x Combine like terms: -15 + 15 = 0 0 + 14x = -15 + 15 + 14x 14x = -15 + 15 + 14x Combine like terms: -15 + 15 = 0 14x = 0 + 14x 14x = 14x Add '-14x' to each side of the equation. 14x + -14x = 14x + -14x Combine like terms: 14x + -14x = 0 0 = 14x + -14x Combine like terms: 14x + -14x = 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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