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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 = -11x -8 + -11x = -7 + 7x + -7x Combine like terms: 7x + -7x = 0 -8 + -11x = -7 + 0 -8 + -11x = -7 Add '8' to each side of the equation. -8 + 8 + -11x = -7 + 8 Combine like terms: -8 + 8 = 0 0 + -11x = -7 + 8 -11x = -7 + 8 Combine like terms: -7 + 8 = 1 -11x = 1 Divide each side by '-11'. x = -0.09090909091 Simplifying x = -0.09090909091
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