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Simplifying 5(x + 1) + -2x = -7 Reorder the terms: 5(1 + x) + -2x = -7 (1 * 5 + x * 5) + -2x = -7 (5 + 5x) + -2x = -7 Combine like terms: 5x + -2x = 3x 5 + 3x = -7 Solving 5 + 3x = -7 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 3x = -7 + -5 Combine like terms: 5 + -5 = 0 0 + 3x = -7 + -5 3x = -7 + -5 Combine like terms: -7 + -5 = -12 3x = -12 Divide each side by '3'. x = -4 Simplifying x = -4
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