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Simplifying -8x + 16 = -1x + -8(-2 + 5x) Reorder the terms: 16 + -8x = -1x + -8(-2 + 5x) 16 + -8x = -1x + (-2 * -8 + 5x * -8) 16 + -8x = -1x + (16 + -40x) Reorder the terms: 16 + -8x = 16 + -1x + -40x Combine like terms: -1x + -40x = -41x 16 + -8x = 16 + -41x Add '-16' to each side of the equation. 16 + -16 + -8x = 16 + -16 + -41x Combine like terms: 16 + -16 = 0 0 + -8x = 16 + -16 + -41x -8x = 16 + -16 + -41x Combine like terms: 16 + -16 = 0 -8x = 0 + -41x -8x = -41x Solving -8x = -41x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '41x' to each side of the equation. -8x + 41x = -41x + 41x Combine like terms: -8x + 41x = 33x 33x = -41x + 41x Combine like terms: -41x + 41x = 0 33x = 0 Divide each side by '33'. x = 0 Simplifying x = 0
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