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Simplifying -16(x + -2) + 32x = 16(x + 4) + -32 Reorder the terms: -16(-2 + x) + 32x = 16(x + 4) + -32 (-2 * -16 + x * -16) + 32x = 16(x + 4) + -32 (32 + -16x) + 32x = 16(x + 4) + -32 Combine like terms: -16x + 32x = 16x 32 + 16x = 16(x + 4) + -32 Reorder the terms: 32 + 16x = 16(4 + x) + -32 32 + 16x = (4 * 16 + x * 16) + -32 32 + 16x = (64 + 16x) + -32 Reorder the terms: 32 + 16x = 64 + -32 + 16x Combine like terms: 64 + -32 = 32 32 + 16x = 32 + 16x Add '-32' to each side of the equation. 32 + -32 + 16x = 32 + -32 + 16x Combine like terms: 32 + -32 = 0 0 + 16x = 32 + -32 + 16x 16x = 32 + -32 + 16x Combine like terms: 32 + -32 = 0 16x = 0 + 16x 16x = 16x Add '-16x' to each side of the equation. 16x + -16x = 16x + -16x Combine like terms: 16x + -16x = 0 0 = 16x + -16x Combine like terms: 16x + -16x = 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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