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Simplifying 2(x + 3) + -3(4x + -5) = 17 + -8x Reorder the terms: 2(3 + x) + -3(4x + -5) = 17 + -8x (3 * 2 + x * 2) + -3(4x + -5) = 17 + -8x (6 + 2x) + -3(4x + -5) = 17 + -8x Reorder the terms: 6 + 2x + -3(-5 + 4x) = 17 + -8x 6 + 2x + (-5 * -3 + 4x * -3) = 17 + -8x 6 + 2x + (15 + -12x) = 17 + -8x Reorder the terms: 6 + 15 + 2x + -12x = 17 + -8x Combine like terms: 6 + 15 = 21 21 + 2x + -12x = 17 + -8x Combine like terms: 2x + -12x = -10x 21 + -10x = 17 + -8x Solving 21 + -10x = 17 + -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. 21 + -10x + 8x = 17 + -8x + 8x Combine like terms: -10x + 8x = -2x 21 + -2x = 17 + -8x + 8x Combine like terms: -8x + 8x = 0 21 + -2x = 17 + 0 21 + -2x = 17 Add '-21' to each side of the equation. 21 + -21 + -2x = 17 + -21 Combine like terms: 21 + -21 = 0 0 + -2x = 17 + -21 -2x = 17 + -21 Combine like terms: 17 + -21 = -4 -2x = -4 Divide each side by '-2'. x = 2 Simplifying x = 2
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