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Simplifying 5(3 + -2X) + 3X = -6 + -7(X + -3) (3 * 5 + -2X * 5) + 3X = -6 + -7(X + -3) (15 + -10X) + 3X = -6 + -7(X + -3) Combine like terms: -10X + 3X = -7X 15 + -7X = -6 + -7(X + -3) Reorder the terms: 15 + -7X = -6 + -7(-3 + X) 15 + -7X = -6 + (-3 * -7 + X * -7) 15 + -7X = -6 + (21 + -7X) Combine like terms: -6 + 21 = 15 15 + -7X = 15 + -7X Add '-15' to each side of the equation. 15 + -15 + -7X = 15 + -15 + -7X Combine like terms: 15 + -15 = 0 0 + -7X = 15 + -15 + -7X -7X = 15 + -15 + -7X Combine like terms: 15 + -15 = 0 -7X = 0 + -7X -7X = -7X Add '7X' to each side of the equation. -7X + 7X = -7X + 7X Combine like terms: -7X + 7X = 0 0 = -7X + 7X Combine like terms: -7X + 7X = 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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