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Simplifying -3(6x + 5) + -2(4 + -17x) = 3(5 + 5x) Reorder the terms: -3(5 + 6x) + -2(4 + -17x) = 3(5 + 5x) (5 * -3 + 6x * -3) + -2(4 + -17x) = 3(5 + 5x) (-15 + -18x) + -2(4 + -17x) = 3(5 + 5x) -15 + -18x + (4 * -2 + -17x * -2) = 3(5 + 5x) -15 + -18x + (-8 + 34x) = 3(5 + 5x) Reorder the terms: -15 + -8 + -18x + 34x = 3(5 + 5x) Combine like terms: -15 + -8 = -23 -23 + -18x + 34x = 3(5 + 5x) Combine like terms: -18x + 34x = 16x -23 + 16x = 3(5 + 5x) -23 + 16x = (5 * 3 + 5x * 3) -23 + 16x = (15 + 15x) Solving -23 + 16x = 15 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. -23 + 16x + -15x = 15 + 15x + -15x Combine like terms: 16x + -15x = 1x -23 + 1x = 15 + 15x + -15x Combine like terms: 15x + -15x = 0 -23 + 1x = 15 + 0 -23 + 1x = 15 Add '23' to each side of the equation. -23 + 23 + 1x = 15 + 23 Combine like terms: -23 + 23 = 0 0 + 1x = 15 + 23 1x = 15 + 23 Combine like terms: 15 + 23 = 38 1x = 38 Divide each side by '1'. x = 38 Simplifying x = 38
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