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Simplifying -11 = -5(x + 7) + 3(7x + -8) Reorder the terms: -11 = -5(7 + x) + 3(7x + -8) -11 = (7 * -5 + x * -5) + 3(7x + -8) -11 = (-35 + -5x) + 3(7x + -8) Reorder the terms: -11 = -35 + -5x + 3(-8 + 7x) -11 = -35 + -5x + (-8 * 3 + 7x * 3) -11 = -35 + -5x + (-24 + 21x) Reorder the terms: -11 = -35 + -24 + -5x + 21x Combine like terms: -35 + -24 = -59 -11 = -59 + -5x + 21x Combine like terms: -5x + 21x = 16x -11 = -59 + 16x Solving -11 = -59 + 16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. -11 + -16x = -59 + 16x + -16x Combine like terms: 16x + -16x = 0 -11 + -16x = -59 + 0 -11 + -16x = -59 Add '11' to each side of the equation. -11 + 11 + -16x = -59 + 11 Combine like terms: -11 + 11 = 0 0 + -16x = -59 + 11 -16x = -59 + 11 Combine like terms: -59 + 11 = -48 -16x = -48 Divide each side by '-16'. x = 3 Simplifying x = 3
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