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Simplifying 12(3x + 4) + -5(2x + -3) = 6x + -17 Reorder the terms: 12(4 + 3x) + -5(2x + -3) = 6x + -17 (4 * 12 + 3x * 12) + -5(2x + -3) = 6x + -17 (48 + 36x) + -5(2x + -3) = 6x + -17 Reorder the terms: 48 + 36x + -5(-3 + 2x) = 6x + -17 48 + 36x + (-3 * -5 + 2x * -5) = 6x + -17 48 + 36x + (15 + -10x) = 6x + -17 Reorder the terms: 48 + 15 + 36x + -10x = 6x + -17 Combine like terms: 48 + 15 = 63 63 + 36x + -10x = 6x + -17 Combine like terms: 36x + -10x = 26x 63 + 26x = 6x + -17 Reorder the terms: 63 + 26x = -17 + 6x Solving 63 + 26x = -17 + 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. 63 + 26x + -6x = -17 + 6x + -6x Combine like terms: 26x + -6x = 20x 63 + 20x = -17 + 6x + -6x Combine like terms: 6x + -6x = 0 63 + 20x = -17 + 0 63 + 20x = -17 Add '-63' to each side of the equation. 63 + -63 + 20x = -17 + -63 Combine like terms: 63 + -63 = 0 0 + 20x = -17 + -63 20x = -17 + -63 Combine like terms: -17 + -63 = -80 20x = -80 Divide each side by '20'. x = -4 Simplifying x = -4
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