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Simplifying 10x + -2(x + 4) = 8(x + -2) + 8 Reorder the terms: 10x + -2(4 + x) = 8(x + -2) + 8 10x + (4 * -2 + x * -2) = 8(x + -2) + 8 10x + (-8 + -2x) = 8(x + -2) + 8 Reorder the terms: -8 + 10x + -2x = 8(x + -2) + 8 Combine like terms: 10x + -2x = 8x -8 + 8x = 8(x + -2) + 8 Reorder the terms: -8 + 8x = 8(-2 + x) + 8 -8 + 8x = (-2 * 8 + x * 8) + 8 -8 + 8x = (-16 + 8x) + 8 Reorder the terms: -8 + 8x = -16 + 8 + 8x Combine like terms: -16 + 8 = -8 -8 + 8x = -8 + 8x Add '8' to each side of the equation. -8 + 8 + 8x = -8 + 8 + 8x Combine like terms: -8 + 8 = 0 0 + 8x = -8 + 8 + 8x 8x = -8 + 8 + 8x Combine like terms: -8 + 8 = 0 8x = 0 + 8x 8x = 8x Add '-8x' to each side of the equation. 8x + -8x = 8x + -8x Combine like terms: 8x + -8x = 0 0 = 8x + -8x Combine like terms: 8x + -8x = 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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