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Simplifying -4(x + 2) = -7(x + -1) Reorder the terms: -4(2 + x) = -7(x + -1) (2 * -4 + x * -4) = -7(x + -1) (-8 + -4x) = -7(x + -1) Reorder the terms: -8 + -4x = -7(-1 + x) -8 + -4x = (-1 * -7 + x * -7) -8 + -4x = (7 + -7x) Solving -8 + -4x = 7 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. -8 + -4x + 7x = 7 + -7x + 7x Combine like terms: -4x + 7x = 3x -8 + 3x = 7 + -7x + 7x Combine like terms: -7x + 7x = 0 -8 + 3x = 7 + 0 -8 + 3x = 7 Add '8' to each side of the equation. -8 + 8 + 3x = 7 + 8 Combine like terms: -8 + 8 = 0 0 + 3x = 7 + 8 3x = 7 + 8 Combine like terms: 7 + 8 = 15 3x = 15 Divide each side by '3'. x = 5 Simplifying x = 5
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