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