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Simplifying 3x + -7 = 2(35 + -2x) Reorder the terms: -7 + 3x = 2(35 + -2x) -7 + 3x = (35 * 2 + -2x * 2) -7 + 3x = (70 + -4x) Solving -7 + 3x = 70 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -7 + 3x + 4x = 70 + -4x + 4x Combine like terms: 3x + 4x = 7x -7 + 7x = 70 + -4x + 4x Combine like terms: -4x + 4x = 0 -7 + 7x = 70 + 0 -7 + 7x = 70 Add '7' to each side of the equation. -7 + 7 + 7x = 70 + 7 Combine like terms: -7 + 7 = 0 0 + 7x = 70 + 7 7x = 70 + 7 Combine like terms: 70 + 7 = 77 7x = 77 Divide each side by '7'. x = 11 Simplifying x = 11
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