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Simplifying 10x + -23 = 4(2x + -7) + 2x + 5 Reorder the terms: -23 + 10x = 4(2x + -7) + 2x + 5 Reorder the terms: -23 + 10x = 4(-7 + 2x) + 2x + 5 -23 + 10x = (-7 * 4 + 2x * 4) + 2x + 5 -23 + 10x = (-28 + 8x) + 2x + 5 Reorder the terms: -23 + 10x = -28 + 5 + 8x + 2x Combine like terms: -28 + 5 = -23 -23 + 10x = -23 + 8x + 2x Combine like terms: 8x + 2x = 10x -23 + 10x = -23 + 10x Add '23' to each side of the equation. -23 + 23 + 10x = -23 + 23 + 10x Combine like terms: -23 + 23 = 0 0 + 10x = -23 + 23 + 10x 10x = -23 + 23 + 10x Combine like terms: -23 + 23 = 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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