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Simplifying 3x + 1 = 8(x + -8) Reorder the terms: 1 + 3x = 8(x + -8) Reorder the terms: 1 + 3x = 8(-8 + x) 1 + 3x = (-8 * 8 + x * 8) 1 + 3x = (-64 + 8x) Solving 1 + 3x = -64 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 1 + 3x + -8x = -64 + 8x + -8x Combine like terms: 3x + -8x = -5x 1 + -5x = -64 + 8x + -8x Combine like terms: 8x + -8x = 0 1 + -5x = -64 + 0 1 + -5x = -64 Add '-1' to each side of the equation. 1 + -1 + -5x = -64 + -1 Combine like terms: 1 + -1 = 0 0 + -5x = -64 + -1 -5x = -64 + -1 Combine like terms: -64 + -1 = -65 -5x = -65 Divide each side by '-5'. x = 13 Simplifying x = 13
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