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Simplifying 3x + 5 = -2 + -4(x + 1) Reorder the terms: 5 + 3x = -2 + -4(x + 1) Reorder the terms: 5 + 3x = -2 + -4(1 + x) 5 + 3x = -2 + (1 * -4 + x * -4) 5 + 3x = -2 + (-4 + -4x) Combine like terms: -2 + -4 = -6 5 + 3x = -6 + -4x Solving 5 + 3x = -6 + -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. 5 + 3x + 4x = -6 + -4x + 4x Combine like terms: 3x + 4x = 7x 5 + 7x = -6 + -4x + 4x Combine like terms: -4x + 4x = 0 5 + 7x = -6 + 0 5 + 7x = -6 Add '-5' to each side of the equation. 5 + -5 + 7x = -6 + -5 Combine like terms: 5 + -5 = 0 0 + 7x = -6 + -5 7x = -6 + -5 Combine like terms: -6 + -5 = -11 7x = -11 Divide each side by '7'. x = -1.571428571 Simplifying x = -1.571428571
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