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Simplifying -3(x + 1) = 4(x + 2) + 2 Reorder the terms: -3(1 + x) = 4(x + 2) + 2 (1 * -3 + x * -3) = 4(x + 2) + 2 (-3 + -3x) = 4(x + 2) + 2 Reorder the terms: -3 + -3x = 4(2 + x) + 2 -3 + -3x = (2 * 4 + x * 4) + 2 -3 + -3x = (8 + 4x) + 2 Reorder the terms: -3 + -3x = 8 + 2 + 4x Combine like terms: 8 + 2 = 10 -3 + -3x = 10 + 4x Solving -3 + -3x = 10 + 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. -3 + -3x + -4x = 10 + 4x + -4x Combine like terms: -3x + -4x = -7x -3 + -7x = 10 + 4x + -4x Combine like terms: 4x + -4x = 0 -3 + -7x = 10 + 0 -3 + -7x = 10 Add '3' to each side of the equation. -3 + 3 + -7x = 10 + 3 Combine like terms: -3 + 3 = 0 0 + -7x = 10 + 3 -7x = 10 + 3 Combine like terms: 10 + 3 = 13 -7x = 13 Divide each side by '-7'. x = -1.857142857 Simplifying x = -1.857142857
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