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Simplifying 4(2x + 8) + 9 = 2x + 59 Reorder the terms: 4(8 + 2x) + 9 = 2x + 59 (8 * 4 + 2x * 4) + 9 = 2x + 59 (32 + 8x) + 9 = 2x + 59 Reorder the terms: 32 + 9 + 8x = 2x + 59 Combine like terms: 32 + 9 = 41 41 + 8x = 2x + 59 Reorder the terms: 41 + 8x = 59 + 2x Solving 41 + 8x = 59 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 41 + 8x + -2x = 59 + 2x + -2x Combine like terms: 8x + -2x = 6x 41 + 6x = 59 + 2x + -2x Combine like terms: 2x + -2x = 0 41 + 6x = 59 + 0 41 + 6x = 59 Add '-41' to each side of the equation. 41 + -41 + 6x = 59 + -41 Combine like terms: 41 + -41 = 0 0 + 6x = 59 + -41 6x = 59 + -41 Combine like terms: 59 + -41 = 18 6x = 18 Divide each side by '6'. x = 3 Simplifying x = 3
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