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Simplifying 3(4x + 3) = 5 + -4(x + 1) Reorder the terms: 3(3 + 4x) = 5 + -4(x + 1) (3 * 3 + 4x * 3) = 5 + -4(x + 1) (9 + 12x) = 5 + -4(x + 1) Reorder the terms: 9 + 12x = 5 + -4(1 + x) 9 + 12x = 5 + (1 * -4 + x * -4) 9 + 12x = 5 + (-4 + -4x) Combine like terms: 5 + -4 = 1 9 + 12x = 1 + -4x Solving 9 + 12x = 1 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 9 + 12x + 4x = 1 + -4x + 4x Combine like terms: 12x + 4x = 16x 9 + 16x = 1 + -4x + 4x Combine like terms: -4x + 4x = 0 9 + 16x = 1 + 0 9 + 16x = 1 Add '-9' to each side of the equation. 9 + -9 + 16x = 1 + -9 Combine like terms: 9 + -9 = 0 0 + 16x = 1 + -9 16x = 1 + -9 Combine like terms: 1 + -9 = -8 16x = -8 Divide each side by '16'. x = -0.5 Simplifying x = -0.5
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