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Simplifying 3(x + 35) + 4(x + 35) = 7 Reorder the terms: 3(35 + x) + 4(x + 35) = 7 (35 * 3 + x * 3) + 4(x + 35) = 7 (105 + 3x) + 4(x + 35) = 7 Reorder the terms: 105 + 3x + 4(35 + x) = 7 105 + 3x + (35 * 4 + x * 4) = 7 105 + 3x + (140 + 4x) = 7 Reorder the terms: 105 + 140 + 3x + 4x = 7 Combine like terms: 105 + 140 = 245 245 + 3x + 4x = 7 Combine like terms: 3x + 4x = 7x 245 + 7x = 7 Solving 245 + 7x = 7 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-245' to each side of the equation. 245 + -245 + 7x = 7 + -245 Combine like terms: 245 + -245 = 0 0 + 7x = 7 + -245 7x = 7 + -245 Combine like terms: 7 + -245 = -238 7x = -238 Divide each side by '7'. x = -34 Simplifying x = -34
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