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Simplifying 17x + -5(10 + 5x) = 2(-6x + 7) 17x + (10 * -5 + 5x * -5) = 2(-6x + 7) 17x + (-50 + -25x) = 2(-6x + 7) Reorder the terms: -50 + 17x + -25x = 2(-6x + 7) Combine like terms: 17x + -25x = -8x -50 + -8x = 2(-6x + 7) Reorder the terms: -50 + -8x = 2(7 + -6x) -50 + -8x = (7 * 2 + -6x * 2) -50 + -8x = (14 + -12x) Solving -50 + -8x = 14 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. -50 + -8x + 12x = 14 + -12x + 12x Combine like terms: -8x + 12x = 4x -50 + 4x = 14 + -12x + 12x Combine like terms: -12x + 12x = 0 -50 + 4x = 14 + 0 -50 + 4x = 14 Add '50' to each side of the equation. -50 + 50 + 4x = 14 + 50 Combine like terms: -50 + 50 = 0 0 + 4x = 14 + 50 4x = 14 + 50 Combine like terms: 14 + 50 = 64 4x = 64 Divide each side by '4'. x = 16 Simplifying x = 16
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