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Simplifying 3(4x + 1) = 8 + -5(4x + 3) Reorder the terms: 3(1 + 4x) = 8 + -5(4x + 3) (1 * 3 + 4x * 3) = 8 + -5(4x + 3) (3 + 12x) = 8 + -5(4x + 3) Reorder the terms: 3 + 12x = 8 + -5(3 + 4x) 3 + 12x = 8 + (3 * -5 + 4x * -5) 3 + 12x = 8 + (-15 + -20x) Combine like terms: 8 + -15 = -7 3 + 12x = -7 + -20x Solving 3 + 12x = -7 + -20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '20x' to each side of the equation. 3 + 12x + 20x = -7 + -20x + 20x Combine like terms: 12x + 20x = 32x 3 + 32x = -7 + -20x + 20x Combine like terms: -20x + 20x = 0 3 + 32x = -7 + 0 3 + 32x = -7 Add '-3' to each side of the equation. 3 + -3 + 32x = -7 + -3 Combine like terms: 3 + -3 = 0 0 + 32x = -7 + -3 32x = -7 + -3 Combine like terms: -7 + -3 = -10 32x = -10 Divide each side by '32'. x = -0.3125 Simplifying x = -0.3125
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