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Simplifying -7(x + -1) = -4(x + 7) Reorder the terms: -7(-1 + x) = -4(x + 7) (-1 * -7 + x * -7) = -4(x + 7) (7 + -7x) = -4(x + 7) Reorder the terms: 7 + -7x = -4(7 + x) 7 + -7x = (7 * -4 + x * -4) 7 + -7x = (-28 + -4x) Solving 7 + -7x = -28 + -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. 7 + -7x + 4x = -28 + -4x + 4x Combine like terms: -7x + 4x = -3x 7 + -3x = -28 + -4x + 4x Combine like terms: -4x + 4x = 0 7 + -3x = -28 + 0 7 + -3x = -28 Add '-7' to each side of the equation. 7 + -7 + -3x = -28 + -7 Combine like terms: 7 + -7 = 0 0 + -3x = -28 + -7 -3x = -28 + -7 Combine like terms: -28 + -7 = -35 -3x = -35 Divide each side by '-3'. x = 11.66666667 Simplifying x = 11.66666667
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