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Simplifying 16x + -64 = 7(2x + -8) + 2x + -8 Reorder the terms: -64 + 16x = 7(2x + -8) + 2x + -8 Reorder the terms: -64 + 16x = 7(-8 + 2x) + 2x + -8 -64 + 16x = (-8 * 7 + 2x * 7) + 2x + -8 -64 + 16x = (-56 + 14x) + 2x + -8 Reorder the terms: -64 + 16x = -56 + -8 + 14x + 2x Combine like terms: -56 + -8 = -64 -64 + 16x = -64 + 14x + 2x Combine like terms: 14x + 2x = 16x -64 + 16x = -64 + 16x Add '64' to each side of the equation. -64 + 64 + 16x = -64 + 64 + 16x Combine like terms: -64 + 64 = 0 0 + 16x = -64 + 64 + 16x 16x = -64 + 64 + 16x Combine like terms: -64 + 64 = 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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