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Simplifying 4(4x + 2) + -39 = 9x + -2 Reorder the terms: 4(2 + 4x) + -39 = 9x + -2 (2 * 4 + 4x * 4) + -39 = 9x + -2 (8 + 16x) + -39 = 9x + -2 Reorder the terms: 8 + -39 + 16x = 9x + -2 Combine like terms: 8 + -39 = -31 -31 + 16x = 9x + -2 Reorder the terms: -31 + 16x = -2 + 9x Solving -31 + 16x = -2 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -31 + 16x + -9x = -2 + 9x + -9x Combine like terms: 16x + -9x = 7x -31 + 7x = -2 + 9x + -9x Combine like terms: 9x + -9x = 0 -31 + 7x = -2 + 0 -31 + 7x = -2 Add '31' to each side of the equation. -31 + 31 + 7x = -2 + 31 Combine like terms: -31 + 31 = 0 0 + 7x = -2 + 31 7x = -2 + 31 Combine like terms: -2 + 31 = 29 7x = 29 Divide each side by '7'. x = 4.142857143 Simplifying x = 4.142857143
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