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Simplifying 49 = -4(3x + -4) + -1(x + -7) Reorder the terms: 49 = -4(-4 + 3x) + -1(x + -7) 49 = (-4 * -4 + 3x * -4) + -1(x + -7) 49 = (16 + -12x) + -1(x + -7) Reorder the terms: 49 = 16 + -12x + -1(-7 + x) 49 = 16 + -12x + (-7 * -1 + x * -1) 49 = 16 + -12x + (7 + -1x) Reorder the terms: 49 = 16 + 7 + -12x + -1x Combine like terms: 16 + 7 = 23 49 = 23 + -12x + -1x Combine like terms: -12x + -1x = -13x 49 = 23 + -13x Solving 49 = 23 + -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. 49 + 13x = 23 + -13x + 13x Combine like terms: -13x + 13x = 0 49 + 13x = 23 + 0 49 + 13x = 23 Add '-49' to each side of the equation. 49 + -49 + 13x = 23 + -49 Combine like terms: 49 + -49 = 0 0 + 13x = 23 + -49 13x = 23 + -49 Combine like terms: 23 + -49 = -26 13x = -26 Divide each side by '13'. x = -2 Simplifying x = -2
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