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