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Simplifying 10x + -5 = 2(4x + 1) + 2x + -7 Reorder the terms: -5 + 10x = 2(4x + 1) + 2x + -7 Reorder the terms: -5 + 10x = 2(1 + 4x) + 2x + -7 -5 + 10x = (1 * 2 + 4x * 2) + 2x + -7 -5 + 10x = (2 + 8x) + 2x + -7 Reorder the terms: -5 + 10x = 2 + -7 + 8x + 2x Combine like terms: 2 + -7 = -5 -5 + 10x = -5 + 8x + 2x Combine like terms: 8x + 2x = 10x -5 + 10x = -5 + 10x Add '5' to each side of the equation. -5 + 5 + 10x = -5 + 5 + 10x Combine like terms: -5 + 5 = 0 0 + 10x = -5 + 5 + 10x 10x = -5 + 5 + 10x Combine like terms: -5 + 5 = 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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