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Simplifying -59 = 5(1 + -8x) + -7(1 + -3x) -59 = (1 * 5 + -8x * 5) + -7(1 + -3x) -59 = (5 + -40x) + -7(1 + -3x) -59 = 5 + -40x + (1 * -7 + -3x * -7) -59 = 5 + -40x + (-7 + 21x) Reorder the terms: -59 = 5 + -7 + -40x + 21x Combine like terms: 5 + -7 = -2 -59 = -2 + -40x + 21x Combine like terms: -40x + 21x = -19x -59 = -2 + -19x Solving -59 = -2 + -19x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '19x' to each side of the equation. -59 + 19x = -2 + -19x + 19x Combine like terms: -19x + 19x = 0 -59 + 19x = -2 + 0 -59 + 19x = -2 Add '59' to each side of the equation. -59 + 59 + 19x = -2 + 59 Combine like terms: -59 + 59 = 0 0 + 19x = -2 + 59 19x = -2 + 59 Combine like terms: -2 + 59 = 57 19x = 57 Divide each side by '19'. x = 3 Simplifying x = 3
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