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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 = 47 47 + 16x = 9x + -2 Reorder the terms: 47 + 16x = -2 + 9x Solving 47 + 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. 47 + 16x + -9x = -2 + 9x + -9x Combine like terms: 16x + -9x = 7x 47 + 7x = -2 + 9x + -9x Combine like terms: 9x + -9x = 0 47 + 7x = -2 + 0 47 + 7x = -2 Add '-47' to each side of the equation. 47 + -47 + 7x = -2 + -47 Combine like terms: 47 + -47 = 0 0 + 7x = -2 + -47 7x = -2 + -47 Combine like terms: -2 + -47 = -49 7x = -49 Divide each side by '7'. x = -7 Simplifying x = -7
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