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Simplifying -17(x + 2) + 6(4x + -5) = 6(x + -4) + 10 Reorder the terms: -17(2 + x) + 6(4x + -5) = 6(x + -4) + 10 (2 * -17 + x * -17) + 6(4x + -5) = 6(x + -4) + 10 (-34 + -17x) + 6(4x + -5) = 6(x + -4) + 10 Reorder the terms: -34 + -17x + 6(-5 + 4x) = 6(x + -4) + 10 -34 + -17x + (-5 * 6 + 4x * 6) = 6(x + -4) + 10 -34 + -17x + (-30 + 24x) = 6(x + -4) + 10 Reorder the terms: -34 + -30 + -17x + 24x = 6(x + -4) + 10 Combine like terms: -34 + -30 = -64 -64 + -17x + 24x = 6(x + -4) + 10 Combine like terms: -17x + 24x = 7x -64 + 7x = 6(x + -4) + 10 Reorder the terms: -64 + 7x = 6(-4 + x) + 10 -64 + 7x = (-4 * 6 + x * 6) + 10 -64 + 7x = (-24 + 6x) + 10 Reorder the terms: -64 + 7x = -24 + 10 + 6x Combine like terms: -24 + 10 = -14 -64 + 7x = -14 + 6x Solving -64 + 7x = -14 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -64 + 7x + -6x = -14 + 6x + -6x Combine like terms: 7x + -6x = 1x -64 + 1x = -14 + 6x + -6x Combine like terms: 6x + -6x = 0 -64 + 1x = -14 + 0 -64 + 1x = -14 Add '64' to each side of the equation. -64 + 64 + 1x = -14 + 64 Combine like terms: -64 + 64 = 0 0 + 1x = -14 + 64 1x = -14 + 64 Combine like terms: -14 + 64 = 50 1x = 50 Divide each side by '1'. x = 50 Simplifying x = 50
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