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Simplifying -3(x + 2) = 4(x + 1) + 2 Reorder the terms: -3(2 + x) = 4(x + 1) + 2 (2 * -3 + x * -3) = 4(x + 1) + 2 (-6 + -3x) = 4(x + 1) + 2 Reorder the terms: -6 + -3x = 4(1 + x) + 2 -6 + -3x = (1 * 4 + x * 4) + 2 -6 + -3x = (4 + 4x) + 2 Reorder the terms: -6 + -3x = 4 + 2 + 4x Combine like terms: 4 + 2 = 6 -6 + -3x = 6 + 4x Solving -6 + -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. -6 + -3x + -4x = 6 + 4x + -4x Combine like terms: -3x + -4x = -7x -6 + -7x = 6 + 4x + -4x Combine like terms: 4x + -4x = 0 -6 + -7x = 6 + 0 -6 + -7x = 6 Add '6' to each side of the equation. -6 + 6 + -7x = 6 + 6 Combine like terms: -6 + 6 = 0 0 + -7x = 6 + 6 -7x = 6 + 6 Combine like terms: 6 + 6 = 12 -7x = 12 Divide each side by '-7'. x = -1.714285714 Simplifying x = -1.714285714
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