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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 = 64 50 = 64 + 15x + -7x Combine like terms: 15x + -7x = 8x 50 = 64 + 8x Solving 50 = 64 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 50 + -8x = 64 + 8x + -8x Combine like terms: 8x + -8x = 0 50 + -8x = 64 + 0 50 + -8x = 64 Add '-50' to each side of the equation. 50 + -50 + -8x = 64 + -50 Combine like terms: 50 + -50 = 0 0 + -8x = 64 + -50 -8x = 64 + -50 Combine like terms: 64 + -50 = 14 -8x = 14 Divide each side by '-8'. x = -1.75 Simplifying x = -1.75
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