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Simplifying 2(3 + -4x) + -5(2x + -3) = x + -17 (3 * 2 + -4x * 2) + -5(2x + -3) = x + -17 (6 + -8x) + -5(2x + -3) = x + -17 Reorder the terms: 6 + -8x + -5(-3 + 2x) = x + -17 6 + -8x + (-3 * -5 + 2x * -5) = x + -17 6 + -8x + (15 + -10x) = x + -17 Reorder the terms: 6 + 15 + -8x + -10x = x + -17 Combine like terms: 6 + 15 = 21 21 + -8x + -10x = x + -17 Combine like terms: -8x + -10x = -18x 21 + -18x = x + -17 Reorder the terms: 21 + -18x = -17 + x Solving 21 + -18x = -17 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 21 + -18x + -1x = -17 + x + -1x Combine like terms: -18x + -1x = -19x 21 + -19x = -17 + x + -1x Combine like terms: x + -1x = 0 21 + -19x = -17 + 0 21 + -19x = -17 Add '-21' to each side of the equation. 21 + -21 + -19x = -17 + -21 Combine like terms: 21 + -21 = 0 0 + -19x = -17 + -21 -19x = -17 + -21 Combine like terms: -17 + -21 = -38 -19x = -38 Divide each side by '-19'. x = 2 Simplifying x = 2
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