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Simplifying 2(4x + 1) = 8(3x + -1) Reorder the terms: 2(1 + 4x) = 8(3x + -1) (1 * 2 + 4x * 2) = 8(3x + -1) (2 + 8x) = 8(3x + -1) Reorder the terms: 2 + 8x = 8(-1 + 3x) 2 + 8x = (-1 * 8 + 3x * 8) 2 + 8x = (-8 + 24x) Solving 2 + 8x = -8 + 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 + 8x + -24x = -8 + 24x + -24x Combine like terms: 8x + -24x = -16x 2 + -16x = -8 + 24x + -24x Combine like terms: 24x + -24x = 0 2 + -16x = -8 + 0 2 + -16x = -8 Add '-2' to each side of the equation. 2 + -2 + -16x = -8 + -2 Combine like terms: 2 + -2 = 0 0 + -16x = -8 + -2 -16x = -8 + -2 Combine like terms: -8 + -2 = -10 -16x = -10 Divide each side by '-16'. x = 0.625 Simplifying x = 0.625
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