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Simplifying 79 = (5x + 4) + (8x + -3) Reorder the terms: 79 = (4 + 5x) + (8x + -3) Remove parenthesis around (4 + 5x) 79 = 4 + 5x + (8x + -3) Reorder the terms: 79 = 4 + 5x + (-3 + 8x) Remove parenthesis around (-3 + 8x) 79 = 4 + 5x + -3 + 8x Reorder the terms: 79 = 4 + -3 + 5x + 8x Combine like terms: 4 + -3 = 1 79 = 1 + 5x + 8x Combine like terms: 5x + 8x = 13x 79 = 1 + 13x Solving 79 = 1 + 13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13x' to each side of the equation. 79 + -13x = 1 + 13x + -13x Combine like terms: 13x + -13x = 0 79 + -13x = 1 + 0 79 + -13x = 1 Add '-79' to each side of the equation. 79 + -79 + -13x = 1 + -79 Combine like terms: 79 + -79 = 0 0 + -13x = 1 + -79 -13x = 1 + -79 Combine like terms: 1 + -79 = -78 -13x = -78 Divide each side by '-13'. x = 6 Simplifying x = 6
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