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Simplifying 4(8 + -1x) + -42 = 26x + -5(2 + 6x) (8 * 4 + -1x * 4) + -42 = 26x + -5(2 + 6x) (32 + -4x) + -42 = 26x + -5(2 + 6x) Reorder the terms: 32 + -42 + -4x = 26x + -5(2 + 6x) Combine like terms: 32 + -42 = -10 -10 + -4x = 26x + -5(2 + 6x) -10 + -4x = 26x + (2 * -5 + 6x * -5) -10 + -4x = 26x + (-10 + -30x) Reorder the terms: -10 + -4x = -10 + 26x + -30x Combine like terms: 26x + -30x = -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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