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Simplifying 5(2x + -8) + -2 = 10x + -42 Reorder the terms: 5(-8 + 2x) + -2 = 10x + -42 (-8 * 5 + 2x * 5) + -2 = 10x + -42 (-40 + 10x) + -2 = 10x + -42 Reorder the terms: -40 + -2 + 10x = 10x + -42 Combine like terms: -40 + -2 = -42 -42 + 10x = 10x + -42 Reorder the terms: -42 + 10x = -42 + 10x Add '42' to each side of the equation. -42 + 42 + 10x = -42 + 42 + 10x Combine like terms: -42 + 42 = 0 0 + 10x = -42 + 42 + 10x 10x = -42 + 42 + 10x Combine like terms: -42 + 42 = 0 10x = 0 + 10x 10x = 10x Add '-10x' to each side of the equation. 10x + -10x = 10x + -10x Combine like terms: 10x + -10x = 0 0 = 10x + -10x Combine like terms: 10x + -10x = 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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