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Simplifying 3(x + -6) + 7 = 5x + -1(2x + 4) + -7 Reorder the terms: 3(-6 + x) + 7 = 5x + -1(2x + 4) + -7 (-6 * 3 + x * 3) + 7 = 5x + -1(2x + 4) + -7 (-18 + 3x) + 7 = 5x + -1(2x + 4) + -7 Reorder the terms: -18 + 7 + 3x = 5x + -1(2x + 4) + -7 Combine like terms: -18 + 7 = -11 -11 + 3x = 5x + -1(2x + 4) + -7 Reorder the terms: -11 + 3x = 5x + -1(4 + 2x) + -7 -11 + 3x = 5x + (4 * -1 + 2x * -1) + -7 -11 + 3x = 5x + (-4 + -2x) + -7 Reorder the terms: -11 + 3x = -4 + -7 + 5x + -2x Combine like terms: -4 + -7 = -11 -11 + 3x = -11 + 5x + -2x Combine like terms: 5x + -2x = 3x -11 + 3x = -11 + 3x Add '11' to each side of the equation. -11 + 11 + 3x = -11 + 11 + 3x Combine like terms: -11 + 11 = 0 0 + 3x = -11 + 11 + 3x 3x = -11 + 11 + 3x Combine like terms: -11 + 11 = 0 3x = 0 + 3x 3x = 3x Add '-3x' to each side of the equation. 3x + -3x = 3x + -3x Combine like terms: 3x + -3x = 0 0 = 3x + -3x Combine like terms: 3x + -3x = 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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