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Simplifying 10x + -7 = 2(2x + -1) + 6x + -5 Reorder the terms: -7 + 10x = 2(2x + -1) + 6x + -5 Reorder the terms: -7 + 10x = 2(-1 + 2x) + 6x + -5 -7 + 10x = (-1 * 2 + 2x * 2) + 6x + -5 -7 + 10x = (-2 + 4x) + 6x + -5 Reorder the terms: -7 + 10x = -2 + -5 + 4x + 6x Combine like terms: -2 + -5 = -7 -7 + 10x = -7 + 4x + 6x Combine like terms: 4x + 6x = 10x -7 + 10x = -7 + 10x Add '7' to each side of the equation. -7 + 7 + 10x = -7 + 7 + 10x Combine like terms: -7 + 7 = 0 0 + 10x = -7 + 7 + 10x 10x = -7 + 7 + 10x Combine like terms: -7 + 7 = 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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