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Simplifying 4(x + 5) = 30 + -1(10 + -4x) Reorder the terms: 4(5 + x) = 30 + -1(10 + -4x) (5 * 4 + x * 4) = 30 + -1(10 + -4x) (20 + 4x) = 30 + -1(10 + -4x) 20 + 4x = 30 + (10 * -1 + -4x * -1) 20 + 4x = 30 + (-10 + 4x) Combine like terms: 30 + -10 = 20 20 + 4x = 20 + 4x Add '-20' to each side of the equation. 20 + -20 + 4x = 20 + -20 + 4x Combine like terms: 20 + -20 = 0 0 + 4x = 20 + -20 + 4x 4x = 20 + -20 + 4x Combine like terms: 20 + -20 = 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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