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Simplifying 50 = -5(3x + 8) + -1(7x + -24) Reorder the terms: 50 = -5(8 + 3x) + -1(7x + -24) 50 = (8 * -5 + 3x * -5) + -1(7x + -24) 50 = (-40 + -15x) + -1(7x + -24) Reorder the terms: 50 = -40 + -15x + -1(-24 + 7x) 50 = -40 + -15x + (-24 * -1 + 7x * -1) 50 = -40 + -15x + (24 + -7x) Reorder the terms: 50 = -40 + 24 + -15x + -7x Combine like terms: -40 + 24 = -16 50 = -16 + -15x + -7x Combine like terms: -15x + -7x = -22x 50 = -16 + -22x Solving 50 = -16 + -22x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '22x' to each side of the equation. 50 + 22x = -16 + -22x + 22x Combine like terms: -22x + 22x = 0 50 + 22x = -16 + 0 50 + 22x = -16 Add '-50' to each side of the equation. 50 + -50 + 22x = -16 + -50 Combine like terms: 50 + -50 = 0 0 + 22x = -16 + -50 22x = -16 + -50 Combine like terms: -16 + -50 = -66 22x = -66 Divide each side by '22'. x = -3 Simplifying x = -3
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