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Simplifying 4x + 8 + -6x + 12 = 3(x + 7) + -5x + -1 Reorder the terms: 8 + 12 + 4x + -6x = 3(x + 7) + -5x + -1 Combine like terms: 8 + 12 = 20 20 + 4x + -6x = 3(x + 7) + -5x + -1 Combine like terms: 4x + -6x = -2x 20 + -2x = 3(x + 7) + -5x + -1 Reorder the terms: 20 + -2x = 3(7 + x) + -5x + -1 20 + -2x = (7 * 3 + x * 3) + -5x + -1 20 + -2x = (21 + 3x) + -5x + -1 Reorder the terms: 20 + -2x = 21 + -1 + 3x + -5x Combine like terms: 21 + -1 = 20 20 + -2x = 20 + 3x + -5x Combine like terms: 3x + -5x = -2x 20 + -2x = 20 + -2x Add '-20' to each side of the equation. 20 + -20 + -2x = 20 + -20 + -2x Combine like terms: 20 + -20 = 0 0 + -2x = 20 + -20 + -2x -2x = 20 + -20 + -2x Combine like terms: 20 + -20 = 0 -2x = 0 + -2x -2x = -2x Add '2x' to each side of the equation. -2x + 2x = -2x + 2x Combine like terms: -2x + 2x = 0 0 = -2x + 2x Combine like terms: -2x + 2x = 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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