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