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Simplifying 7(x + -3) + 8(x + 5) = -100 Reorder the terms: 7(-3 + x) + 8(x + 5) = -100 (-3 * 7 + x * 7) + 8(x + 5) = -100 (-21 + 7x) + 8(x + 5) = -100 Reorder the terms: -21 + 7x + 8(5 + x) = -100 -21 + 7x + (5 * 8 + x * 8) = -100 -21 + 7x + (40 + 8x) = -100 Reorder the terms: -21 + 40 + 7x + 8x = -100 Combine like terms: -21 + 40 = 19 19 + 7x + 8x = -100 Combine like terms: 7x + 8x = 15x 19 + 15x = -100 Solving 19 + 15x = -100 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-19' to each side of the equation. 19 + -19 + 15x = -100 + -19 Combine like terms: 19 + -19 = 0 0 + 15x = -100 + -19 15x = -100 + -19 Combine like terms: -100 + -19 = -119 15x = -119 Divide each side by '15'. x = -7.933333333 Simplifying x = -7.933333333
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