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Simplifying -2(8x + 2) = 4(x + 6.5) Reorder the terms: -2(2 + 8x) = 4(x + 6.5) (2 * -2 + 8x * -2) = 4(x + 6.5) (-4 + -16x) = 4(x + 6.5) Reorder the terms: -4 + -16x = 4(6.5 + x) -4 + -16x = (6.5 * 4 + x * 4) -4 + -16x = (26 + 4x) Solving -4 + -16x = 26 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -4 + -16x + -4x = 26 + 4x + -4x Combine like terms: -16x + -4x = -20x -4 + -20x = 26 + 4x + -4x Combine like terms: 4x + -4x = 0 -4 + -20x = 26 + 0 -4 + -20x = 26 Add '4' to each side of the equation. -4 + 4 + -20x = 26 + 4 Combine like terms: -4 + 4 = 0 0 + -20x = 26 + 4 -20x = 26 + 4 Combine like terms: 26 + 4 = 30 -20x = 30 Divide each side by '-20'. x = -1.5 Simplifying x = -1.5
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