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Simplifying 2(8x + -1) = 6(5 + 4x) Reorder the terms: 2(-1 + 8x) = 6(5 + 4x) (-1 * 2 + 8x * 2) = 6(5 + 4x) (-2 + 16x) = 6(5 + 4x) -2 + 16x = (5 * 6 + 4x * 6) -2 + 16x = (30 + 24x) Solving -2 + 16x = 30 + 24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24x' to each side of the equation. -2 + 16x + -24x = 30 + 24x + -24x Combine like terms: 16x + -24x = -8x -2 + -8x = 30 + 24x + -24x Combine like terms: 24x + -24x = 0 -2 + -8x = 30 + 0 -2 + -8x = 30 Add '2' to each side of the equation. -2 + 2 + -8x = 30 + 2 Combine like terms: -2 + 2 = 0 0 + -8x = 30 + 2 -8x = 30 + 2 Combine like terms: 30 + 2 = 32 -8x = 32 Divide each side by '-8'. x = -4 Simplifying x = -4
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