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Simplifying 79(x + 1) = 10x + -5 Reorder the terms: 79(1 + x) = 10x + -5 (1 * 79 + x * 79) = 10x + -5 (79 + 79x) = 10x + -5 Reorder the terms: 79 + 79x = -5 + 10x Solving 79 + 79x = -5 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 79 + 79x + -10x = -5 + 10x + -10x Combine like terms: 79x + -10x = 69x 79 + 69x = -5 + 10x + -10x Combine like terms: 10x + -10x = 0 79 + 69x = -5 + 0 79 + 69x = -5 Add '-79' to each side of the equation. 79 + -79 + 69x = -5 + -79 Combine like terms: 79 + -79 = 0 0 + 69x = -5 + -79 69x = -5 + -79 Combine like terms: -5 + -79 = -84 69x = -84 Divide each side by '69'. x = -1.217391304 Simplifying x = -1.217391304
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