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Simplifying -24 = -4(3x + 7) + 8(7x + -5) Reorder the terms: -24 = -4(7 + 3x) + 8(7x + -5) -24 = (7 * -4 + 3x * -4) + 8(7x + -5) -24 = (-28 + -12x) + 8(7x + -5) Reorder the terms: -24 = -28 + -12x + 8(-5 + 7x) -24 = -28 + -12x + (-5 * 8 + 7x * 8) -24 = -28 + -12x + (-40 + 56x) Reorder the terms: -24 = -28 + -40 + -12x + 56x Combine like terms: -28 + -40 = -68 -24 = -68 + -12x + 56x Combine like terms: -12x + 56x = 44x -24 = -68 + 44x Solving -24 = -68 + 44x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-44x' to each side of the equation. -24 + -44x = -68 + 44x + -44x Combine like terms: 44x + -44x = 0 -24 + -44x = -68 + 0 -24 + -44x = -68 Add '24' to each side of the equation. -24 + 24 + -44x = -68 + 24 Combine like terms: -24 + 24 = 0 0 + -44x = -68 + 24 -44x = -68 + 24 Combine like terms: -68 + 24 = -44 -44x = -44 Divide each side by '-44'. x = 1 Simplifying x = 1
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