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Simplifying 7x + 2(3 + -2x) = 4(9 + -1x) + -2 7x + (3 * 2 + -2x * 2) = 4(9 + -1x) + -2 7x + (6 + -4x) = 4(9 + -1x) + -2 Reorder the terms: 6 + 7x + -4x = 4(9 + -1x) + -2 Combine like terms: 7x + -4x = 3x 6 + 3x = 4(9 + -1x) + -2 6 + 3x = (9 * 4 + -1x * 4) + -2 6 + 3x = (36 + -4x) + -2 Reorder the terms: 6 + 3x = 36 + -2 + -4x Combine like terms: 36 + -2 = 34 6 + 3x = 34 + -4x Solving 6 + 3x = 34 + -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. 6 + 3x + 4x = 34 + -4x + 4x Combine like terms: 3x + 4x = 7x 6 + 7x = 34 + -4x + 4x Combine like terms: -4x + 4x = 0 6 + 7x = 34 + 0 6 + 7x = 34 Add '-6' to each side of the equation. 6 + -6 + 7x = 34 + -6 Combine like terms: 6 + -6 = 0 0 + 7x = 34 + -6 7x = 34 + -6 Combine like terms: 34 + -6 = 28 7x = 28 Divide each side by '7'. x = 4 Simplifying x = 4
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