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Simplifying 8(2x + 1) = 6(2x + -9) Reorder the terms: 8(1 + 2x) = 6(2x + -9) (1 * 8 + 2x * 8) = 6(2x + -9) (8 + 16x) = 6(2x + -9) Reorder the terms: 8 + 16x = 6(-9 + 2x) 8 + 16x = (-9 * 6 + 2x * 6) 8 + 16x = (-54 + 12x) Solving 8 + 16x = -54 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 8 + 16x + -12x = -54 + 12x + -12x Combine like terms: 16x + -12x = 4x 8 + 4x = -54 + 12x + -12x Combine like terms: 12x + -12x = 0 8 + 4x = -54 + 0 8 + 4x = -54 Add '-8' to each side of the equation. 8 + -8 + 4x = -54 + -8 Combine like terms: 8 + -8 = 0 0 + 4x = -54 + -8 4x = -54 + -8 Combine like terms: -54 + -8 = -62 4x = -62 Divide each side by '4'. x = -15.5 Simplifying x = -15.5
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