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Simplifying 8x + -5 = 5(x + 1) + 3x + -10 Reorder the terms: -5 + 8x = 5(x + 1) + 3x + -10 Reorder the terms: -5 + 8x = 5(1 + x) + 3x + -10 -5 + 8x = (1 * 5 + x * 5) + 3x + -10 -5 + 8x = (5 + 5x) + 3x + -10 Reorder the terms: -5 + 8x = 5 + -10 + 5x + 3x Combine like terms: 5 + -10 = -5 -5 + 8x = -5 + 5x + 3x Combine like terms: 5x + 3x = 8x -5 + 8x = -5 + 8x Add '5' to each side of the equation. -5 + 5 + 8x = -5 + 5 + 8x Combine like terms: -5 + 5 = 0 0 + 8x = -5 + 5 + 8x 8x = -5 + 5 + 8x Combine like terms: -5 + 5 = 0 8x = 0 + 8x 8x = 8x Add '-8x' to each side of the equation. 8x + -8x = 8x + -8x Combine like terms: 8x + -8x = 0 0 = 8x + -8x Combine like terms: 8x + -8x = 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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