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Simplifying 4(x + 7) = -11(x + -8) Reorder the terms: 4(7 + x) = -11(x + -8) (7 * 4 + x * 4) = -11(x + -8) (28 + 4x) = -11(x + -8) Reorder the terms: 28 + 4x = -11(-8 + x) 28 + 4x = (-8 * -11 + x * -11) 28 + 4x = (88 + -11x) Solving 28 + 4x = 88 + -11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '11x' to each side of the equation. 28 + 4x + 11x = 88 + -11x + 11x Combine like terms: 4x + 11x = 15x 28 + 15x = 88 + -11x + 11x Combine like terms: -11x + 11x = 0 28 + 15x = 88 + 0 28 + 15x = 88 Add '-28' to each side of the equation. 28 + -28 + 15x = 88 + -28 Combine like terms: 28 + -28 = 0 0 + 15x = 88 + -28 15x = 88 + -28 Combine like terms: 88 + -28 = 60 15x = 60 Divide each side by '15'. x = 4 Simplifying x = 4
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