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Simplifying 8x + 2(8x + -6) = 2(4x + 7) Reorder the terms: 8x + 2(-6 + 8x) = 2(4x + 7) 8x + (-6 * 2 + 8x * 2) = 2(4x + 7) 8x + (-12 + 16x) = 2(4x + 7) Reorder the terms: -12 + 8x + 16x = 2(4x + 7) Combine like terms: 8x + 16x = 24x -12 + 24x = 2(4x + 7) Reorder the terms: -12 + 24x = 2(7 + 4x) -12 + 24x = (7 * 2 + 4x * 2) -12 + 24x = (14 + 8x) Solving -12 + 24x = 14 + 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. -12 + 24x + -8x = 14 + 8x + -8x Combine like terms: 24x + -8x = 16x -12 + 16x = 14 + 8x + -8x Combine like terms: 8x + -8x = 0 -12 + 16x = 14 + 0 -12 + 16x = 14 Add '12' to each side of the equation. -12 + 12 + 16x = 14 + 12 Combine like terms: -12 + 12 = 0 0 + 16x = 14 + 12 16x = 14 + 12 Combine like terms: 14 + 12 = 26 16x = 26 Divide each side by '16'. x = 1.625 Simplifying x = 1.625
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