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Simplifying 8 + 2(8x + -6) = 2(4x + 7) Reorder the terms: 8 + 2(-6 + 8x) = 2(4x + 7) 8 + (-6 * 2 + 8x * 2) = 2(4x + 7) 8 + (-12 + 16x) = 2(4x + 7) Combine like terms: 8 + -12 = -4 -4 + 16x = 2(4x + 7) Reorder the terms: -4 + 16x = 2(7 + 4x) -4 + 16x = (7 * 2 + 4x * 2) -4 + 16x = (14 + 8x) Solving -4 + 16x = 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. -4 + 16x + -8x = 14 + 8x + -8x Combine like terms: 16x + -8x = 8x -4 + 8x = 14 + 8x + -8x Combine like terms: 8x + -8x = 0 -4 + 8x = 14 + 0 -4 + 8x = 14 Add '4' to each side of the equation. -4 + 4 + 8x = 14 + 4 Combine like terms: -4 + 4 = 0 0 + 8x = 14 + 4 8x = 14 + 4 Combine like terms: 14 + 4 = 18 8x = 18 Divide each side by '8'. x = 2.25 Simplifying x = 2.25
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