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Simplifying 10x + 32 = 4(2x + 9) + 2x + -4 Reorder the terms: 32 + 10x = 4(2x + 9) + 2x + -4 Reorder the terms: 32 + 10x = 4(9 + 2x) + 2x + -4 32 + 10x = (9 * 4 + 2x * 4) + 2x + -4 32 + 10x = (36 + 8x) + 2x + -4 Reorder the terms: 32 + 10x = 36 + -4 + 8x + 2x Combine like terms: 36 + -4 = 32 32 + 10x = 32 + 8x + 2x Combine like terms: 8x + 2x = 10x 32 + 10x = 32 + 10x Add '-32' to each side of the equation. 32 + -32 + 10x = 32 + -32 + 10x Combine like terms: 32 + -32 = 0 0 + 10x = 32 + -32 + 10x 10x = 32 + -32 + 10x Combine like terms: 32 + -32 = 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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