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Simplifying 2(5x + 35) = 3(x + 14) Reorder the terms: 2(35 + 5x) = 3(x + 14) (35 * 2 + 5x * 2) = 3(x + 14) (70 + 10x) = 3(x + 14) Reorder the terms: 70 + 10x = 3(14 + x) 70 + 10x = (14 * 3 + x * 3) 70 + 10x = (42 + 3x) Solving 70 + 10x = 42 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 70 + 10x + -3x = 42 + 3x + -3x Combine like terms: 10x + -3x = 7x 70 + 7x = 42 + 3x + -3x Combine like terms: 3x + -3x = 0 70 + 7x = 42 + 0 70 + 7x = 42 Add '-70' to each side of the equation. 70 + -70 + 7x = 42 + -70 Combine like terms: 70 + -70 = 0 0 + 7x = 42 + -70 7x = 42 + -70 Combine like terms: 42 + -70 = -28 7x = -28 Divide each side by '7'. x = -4 Simplifying x = -4
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