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Simplifying 4(X + -4) + 6 = 7X + -1(3X + 4) + -6 Reorder the terms: 4(-4 + X) + 6 = 7X + -1(3X + 4) + -6 (-4 * 4 + X * 4) + 6 = 7X + -1(3X + 4) + -6 (-16 + 4X) + 6 = 7X + -1(3X + 4) + -6 Reorder the terms: -16 + 6 + 4X = 7X + -1(3X + 4) + -6 Combine like terms: -16 + 6 = -10 -10 + 4X = 7X + -1(3X + 4) + -6 Reorder the terms: -10 + 4X = 7X + -1(4 + 3X) + -6 -10 + 4X = 7X + (4 * -1 + 3X * -1) + -6 -10 + 4X = 7X + (-4 + -3X) + -6 Reorder the terms: -10 + 4X = -4 + -6 + 7X + -3X Combine like terms: -4 + -6 = -10 -10 + 4X = -10 + 7X + -3X Combine like terms: 7X + -3X = 4X -10 + 4X = -10 + 4X Add '10' to each side of the equation. -10 + 10 + 4X = -10 + 10 + 4X Combine like terms: -10 + 10 = 0 0 + 4X = -10 + 10 + 4X 4X = -10 + 10 + 4X Combine like terms: -10 + 10 = 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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