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Simplifying 7(1 + -1x) = -3(x + 7) (1 * 7 + -1x * 7) = -3(x + 7) (7 + -7x) = -3(x + 7) Reorder the terms: 7 + -7x = -3(7 + x) 7 + -7x = (7 * -3 + x * -3) 7 + -7x = (-21 + -3x) Solving 7 + -7x = -21 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 7 + -7x + 3x = -21 + -3x + 3x Combine like terms: -7x + 3x = -4x 7 + -4x = -21 + -3x + 3x Combine like terms: -3x + 3x = 0 7 + -4x = -21 + 0 7 + -4x = -21 Add '-7' to each side of the equation. 7 + -7 + -4x = -21 + -7 Combine like terms: 7 + -7 = 0 0 + -4x = -21 + -7 -4x = -21 + -7 Combine like terms: -21 + -7 = -28 -4x = -28 Divide each side by '-4'. x = 7 Simplifying x = 7
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