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Simplifying 59 = 3(1 + -4x) + -1(x + -4) 59 = (1 * 3 + -4x * 3) + -1(x + -4) 59 = (3 + -12x) + -1(x + -4) Reorder the terms: 59 = 3 + -12x + -1(-4 + x) 59 = 3 + -12x + (-4 * -1 + x * -1) 59 = 3 + -12x + (4 + -1x) Reorder the terms: 59 = 3 + 4 + -12x + -1x Combine like terms: 3 + 4 = 7 59 = 7 + -12x + -1x Combine like terms: -12x + -1x = -13x 59 = 7 + -13x Solving 59 = 7 + -13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '13x' to each side of the equation. 59 + 13x = 7 + -13x + 13x Combine like terms: -13x + 13x = 0 59 + 13x = 7 + 0 59 + 13x = 7 Add '-59' to each side of the equation. 59 + -59 + 13x = 7 + -59 Combine like terms: 59 + -59 = 0 0 + 13x = 7 + -59 13x = 7 + -59 Combine like terms: 7 + -59 = -52 13x = -52 Divide each side by '13'. x = -4 Simplifying x = -4
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