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Simplifying 9x + 59 = 2 + 4(5 + -7x) Reorder the terms: 59 + 9x = 2 + 4(5 + -7x) 59 + 9x = 2 + (5 * 4 + -7x * 4) 59 + 9x = 2 + (20 + -28x) Combine like terms: 2 + 20 = 22 59 + 9x = 22 + -28x Solving 59 + 9x = 22 + -28x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '28x' to each side of the equation. 59 + 9x + 28x = 22 + -28x + 28x Combine like terms: 9x + 28x = 37x 59 + 37x = 22 + -28x + 28x Combine like terms: -28x + 28x = 0 59 + 37x = 22 + 0 59 + 37x = 22 Add '-59' to each side of the equation. 59 + -59 + 37x = 22 + -59 Combine like terms: 59 + -59 = 0 0 + 37x = 22 + -59 37x = 22 + -59 Combine like terms: 22 + -59 = -37 37x = -37 Divide each side by '37'. x = -1 Simplifying x = -1
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