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Simplifying 8(4x + 3) = 4x + 1 + -2x Reorder the terms: 8(3 + 4x) = 4x + 1 + -2x (3 * 8 + 4x * 8) = 4x + 1 + -2x (24 + 32x) = 4x + 1 + -2x Reorder the terms: 24 + 32x = 1 + 4x + -2x Combine like terms: 4x + -2x = 2x 24 + 32x = 1 + 2x Solving 24 + 32x = 1 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 24 + 32x + -2x = 1 + 2x + -2x Combine like terms: 32x + -2x = 30x 24 + 30x = 1 + 2x + -2x Combine like terms: 2x + -2x = 0 24 + 30x = 1 + 0 24 + 30x = 1 Add '-24' to each side of the equation. 24 + -24 + 30x = 1 + -24 Combine like terms: 24 + -24 = 0 0 + 30x = 1 + -24 30x = 1 + -24 Combine like terms: 1 + -24 = -23 30x = -23 Divide each side by '30'. x = -0.7666666667 Simplifying x = -0.7666666667
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