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Simplifying 2079 = 2x + 2(2x + -5) + 2(5x + 10) Reorder the terms: 2079 = 2x + 2(-5 + 2x) + 2(5x + 10) 2079 = 2x + (-5 * 2 + 2x * 2) + 2(5x + 10) 2079 = 2x + (-10 + 4x) + 2(5x + 10) Reorder the terms: 2079 = 2x + -10 + 4x + 2(10 + 5x) 2079 = 2x + -10 + 4x + (10 * 2 + 5x * 2) 2079 = 2x + -10 + 4x + (20 + 10x) Reorder the terms: 2079 = -10 + 20 + 2x + 4x + 10x Combine like terms: -10 + 20 = 10 2079 = 10 + 2x + 4x + 10x Combine like terms: 2x + 4x = 6x 2079 = 10 + 6x + 10x Combine like terms: 6x + 10x = 16x 2079 = 10 + 16x Solving 2079 = 10 + 16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. 2079 + -16x = 10 + 16x + -16x Combine like terms: 16x + -16x = 0 2079 + -16x = 10 + 0 2079 + -16x = 10 Add '-2079' to each side of the equation. 2079 + -2079 + -16x = 10 + -2079 Combine like terms: 2079 + -2079 = 0 0 + -16x = 10 + -2079 -16x = 10 + -2079 Combine like terms: 10 + -2079 = -2069 -16x = -2069 Divide each side by '-16'. x = 129.3125 Simplifying x = 129.3125
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