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Simplifying -2x + -13 = -5 + -8(8x + 1) Reorder the terms: -13 + -2x = -5 + -8(8x + 1) Reorder the terms: -13 + -2x = -5 + -8(1 + 8x) -13 + -2x = -5 + (1 * -8 + 8x * -8) -13 + -2x = -5 + (-8 + -64x) Combine like terms: -5 + -8 = -13 -13 + -2x = -13 + -64x Add '13' to each side of the equation. -13 + 13 + -2x = -13 + 13 + -64x Combine like terms: -13 + 13 = 0 0 + -2x = -13 + 13 + -64x -2x = -13 + 13 + -64x Combine like terms: -13 + 13 = 0 -2x = 0 + -64x -2x = -64x Solving -2x = -64x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '64x' to each side of the equation. -2x + 64x = -64x + 64x Combine like terms: -2x + 64x = 62x 62x = -64x + 64x Combine like terms: -64x + 64x = 0 62x = 0 Divide each side by '62'. x = 0 Simplifying x = 0
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