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Simplifying 7 + -5(x + -9) = -3 + -1(x + 1) Reorder the terms: 7 + -5(-9 + x) = -3 + -1(x + 1) 7 + (-9 * -5 + x * -5) = -3 + -1(x + 1) 7 + (45 + -5x) = -3 + -1(x + 1) Combine like terms: 7 + 45 = 52 52 + -5x = -3 + -1(x + 1) Reorder the terms: 52 + -5x = -3 + -1(1 + x) 52 + -5x = -3 + (1 * -1 + x * -1) 52 + -5x = -3 + (-1 + -1x) Combine like terms: -3 + -1 = -4 52 + -5x = -4 + -1x Solving 52 + -5x = -4 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 52 + -5x + x = -4 + -1x + x Combine like terms: -5x + x = -4x 52 + -4x = -4 + -1x + x Combine like terms: -1x + x = 0 52 + -4x = -4 + 0 52 + -4x = -4 Add '-52' to each side of the equation. 52 + -52 + -4x = -4 + -52 Combine like terms: 52 + -52 = 0 0 + -4x = -4 + -52 -4x = -4 + -52 Combine like terms: -4 + -52 = -56 -4x = -56 Divide each side by '-4'. x = 14 Simplifying x = 14
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