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Simplifying 3x + 4(x + 1) = 5x + -8 Reorder the terms: 3x + 4(1 + x) = 5x + -8 3x + (1 * 4 + x * 4) = 5x + -8 3x + (4 + 4x) = 5x + -8 Reorder the terms: 4 + 3x + 4x = 5x + -8 Combine like terms: 3x + 4x = 7x 4 + 7x = 5x + -8 Reorder the terms: 4 + 7x = -8 + 5x Solving 4 + 7x = -8 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 4 + 7x + -5x = -8 + 5x + -5x Combine like terms: 7x + -5x = 2x 4 + 2x = -8 + 5x + -5x Combine like terms: 5x + -5x = 0 4 + 2x = -8 + 0 4 + 2x = -8 Add '-4' to each side of the equation. 4 + -4 + 2x = -8 + -4 Combine like terms: 4 + -4 = 0 0 + 2x = -8 + -4 2x = -8 + -4 Combine like terms: -8 + -4 = -12 2x = -12 Divide each side by '2'. x = -6 Simplifying x = -6
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