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Simplifying 2(x + 5) + 105 = 7x + -1(x + -9) Reorder the terms: 2(5 + x) + 105 = 7x + -1(x + -9) (5 * 2 + x * 2) + 105 = 7x + -1(x + -9) (10 + 2x) + 105 = 7x + -1(x + -9) Reorder the terms: 10 + 105 + 2x = 7x + -1(x + -9) Combine like terms: 10 + 105 = 115 115 + 2x = 7x + -1(x + -9) Reorder the terms: 115 + 2x = 7x + -1(-9 + x) 115 + 2x = 7x + (-9 * -1 + x * -1) 115 + 2x = 7x + (9 + -1x) Reorder the terms: 115 + 2x = 9 + 7x + -1x Combine like terms: 7x + -1x = 6x 115 + 2x = 9 + 6x Solving 115 + 2x = 9 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 115 + 2x + -6x = 9 + 6x + -6x Combine like terms: 2x + -6x = -4x 115 + -4x = 9 + 6x + -6x Combine like terms: 6x + -6x = 0 115 + -4x = 9 + 0 115 + -4x = 9 Add '-115' to each side of the equation. 115 + -115 + -4x = 9 + -115 Combine like terms: 115 + -115 = 0 0 + -4x = 9 + -115 -4x = 9 + -115 Combine like terms: 9 + -115 = -106 -4x = -106 Divide each side by '-4'. x = 26.5 Simplifying x = 26.5
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