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Simplifying 2(3x + 1) + 4(2x + -2) = 2(7x + -3) Reorder the terms: 2(1 + 3x) + 4(2x + -2) = 2(7x + -3) (1 * 2 + 3x * 2) + 4(2x + -2) = 2(7x + -3) (2 + 6x) + 4(2x + -2) = 2(7x + -3) Reorder the terms: 2 + 6x + 4(-2 + 2x) = 2(7x + -3) 2 + 6x + (-2 * 4 + 2x * 4) = 2(7x + -3) 2 + 6x + (-8 + 8x) = 2(7x + -3) Reorder the terms: 2 + -8 + 6x + 8x = 2(7x + -3) Combine like terms: 2 + -8 = -6 -6 + 6x + 8x = 2(7x + -3) Combine like terms: 6x + 8x = 14x -6 + 14x = 2(7x + -3) Reorder the terms: -6 + 14x = 2(-3 + 7x) -6 + 14x = (-3 * 2 + 7x * 2) -6 + 14x = (-6 + 14x) Add '6' to each side of the equation. -6 + 6 + 14x = -6 + 6 + 14x Combine like terms: -6 + 6 = 0 0 + 14x = -6 + 6 + 14x 14x = -6 + 6 + 14x Combine like terms: -6 + 6 = 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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