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Simplifying 3(x + 2) = -4(x + 1) Reorder the terms: 3(2 + x) = -4(x + 1) (2 * 3 + x * 3) = -4(x + 1) (6 + 3x) = -4(x + 1) Reorder the terms: 6 + 3x = -4(1 + x) 6 + 3x = (1 * -4 + x * -4) 6 + 3x = (-4 + -4x) Solving 6 + 3x = -4 + -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. 6 + 3x + 4x = -4 + -4x + 4x Combine like terms: 3x + 4x = 7x 6 + 7x = -4 + -4x + 4x Combine like terms: -4x + 4x = 0 6 + 7x = -4 + 0 6 + 7x = -4 Add '-6' to each side of the equation. 6 + -6 + 7x = -4 + -6 Combine like terms: 6 + -6 = 0 0 + 7x = -4 + -6 7x = -4 + -6 Combine like terms: -4 + -6 = -10 7x = -10 Divide each side by '7'. x = -1.428571429 Simplifying x = -1.428571429
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