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