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Simplifying 49 = -8(x + -7) + -5(x + 4) Reorder the terms: 49 = -8(-7 + x) + -5(x + 4) 49 = (-7 * -8 + x * -8) + -5(x + 4) 49 = (56 + -8x) + -5(x + 4) Reorder the terms: 49 = 56 + -8x + -5(4 + x) 49 = 56 + -8x + (4 * -5 + x * -5) 49 = 56 + -8x + (-20 + -5x) Reorder the terms: 49 = 56 + -20 + -8x + -5x Combine like terms: 56 + -20 = 36 49 = 36 + -8x + -5x Combine like terms: -8x + -5x = -13x 49 = 36 + -13x Solving 49 = 36 + -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 = 36 + -13x + 13x Combine like terms: -13x + 13x = 0 49 + 13x = 36 + 0 49 + 13x = 36 Add '-49' to each side of the equation. 49 + -49 + 13x = 36 + -49 Combine like terms: 49 + -49 = 0 0 + 13x = 36 + -49 13x = 36 + -49 Combine like terms: 36 + -49 = -13 13x = -13 Divide each side by '13'. x = -1 Simplifying x = -1
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