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Simplifying 8(4x + -3) = (8x + 2) Reorder the terms: 8(-3 + 4x) = (8x + 2) (-3 * 8 + 4x * 8) = (8x + 2) (-24 + 32x) = (8x + 2) Reorder the terms: -24 + 32x = (2 + 8x) Remove parenthesis around (2 + 8x) -24 + 32x = 2 + 8x Solving -24 + 32x = 2 + 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. -24 + 32x + -8x = 2 + 8x + -8x Combine like terms: 32x + -8x = 24x -24 + 24x = 2 + 8x + -8x Combine like terms: 8x + -8x = 0 -24 + 24x = 2 + 0 -24 + 24x = 2 Add '24' to each side of the equation. -24 + 24 + 24x = 2 + 24 Combine like terms: -24 + 24 = 0 0 + 24x = 2 + 24 24x = 2 + 24 Combine like terms: 2 + 24 = 26 24x = 26 Divide each side by '24'. x = 1.083333333 Simplifying x = 1.083333333
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