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Simplifying 6(x + 8) + -13 = 45 + -2(5 + -3x) Reorder the terms: 6(8 + x) + -13 = 45 + -2(5 + -3x) (8 * 6 + x * 6) + -13 = 45 + -2(5 + -3x) (48 + 6x) + -13 = 45 + -2(5 + -3x) Reorder the terms: 48 + -13 + 6x = 45 + -2(5 + -3x) Combine like terms: 48 + -13 = 35 35 + 6x = 45 + -2(5 + -3x) 35 + 6x = 45 + (5 * -2 + -3x * -2) 35 + 6x = 45 + (-10 + 6x) Combine like terms: 45 + -10 = 35 35 + 6x = 35 + 6x Add '-35' to each side of the equation. 35 + -35 + 6x = 35 + -35 + 6x Combine like terms: 35 + -35 = 0 0 + 6x = 35 + -35 + 6x 6x = 35 + -35 + 6x Combine like terms: 35 + -35 = 0 6x = 0 + 6x 6x = 6x Add '-6x' to each side of the equation. 6x + -6x = 6x + -6x Combine like terms: 6x + -6x = 0 0 = 6x + -6x Combine like terms: 6x + -6x = 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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