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Simplifying 59 = -1(1 + 3x) + 7(1 + 8x) 59 = (1 * -1 + 3x * -1) + 7(1 + 8x) 59 = (-1 + -3x) + 7(1 + 8x) 59 = -1 + -3x + (1 * 7 + 8x * 7) 59 = -1 + -3x + (7 + 56x) Reorder the terms: 59 = -1 + 7 + -3x + 56x Combine like terms: -1 + 7 = 6 59 = 6 + -3x + 56x Combine like terms: -3x + 56x = 53x 59 = 6 + 53x Solving 59 = 6 + 53x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-53x' to each side of the equation. 59 + -53x = 6 + 53x + -53x Combine like terms: 53x + -53x = 0 59 + -53x = 6 + 0 59 + -53x = 6 Add '-59' to each side of the equation. 59 + -59 + -53x = 6 + -59 Combine like terms: 59 + -59 = 0 0 + -53x = 6 + -59 -53x = 6 + -59 Combine like terms: 6 + -59 = -53 -53x = -53 Divide each side by '-53'. x = 1 Simplifying x = 1
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