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Simplifying X + 7 + -4(X + 5) = 4X + -3 + -7X + -10 Reorder the terms: X + 7 + -4(5 + X) = 4X + -3 + -7X + -10 X + 7 + (5 * -4 + X * -4) = 4X + -3 + -7X + -10 X + 7 + (-20 + -4X) = 4X + -3 + -7X + -10 Reorder the terms: 7 + -20 + X + -4X = 4X + -3 + -7X + -10 Combine like terms: 7 + -20 = -13 -13 + X + -4X = 4X + -3 + -7X + -10 Combine like terms: X + -4X = -3X -13 + -3X = 4X + -3 + -7X + -10 Reorder the terms: -13 + -3X = -3 + -10 + 4X + -7X Combine like terms: -3 + -10 = -13 -13 + -3X = -13 + 4X + -7X Combine like terms: 4X + -7X = -3X -13 + -3X = -13 + -3X Add '13' to each side of the equation. -13 + 13 + -3X = -13 + 13 + -3X Combine like terms: -13 + 13 = 0 0 + -3X = -13 + 13 + -3X -3X = -13 + 13 + -3X Combine like terms: -13 + 13 = 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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