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