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Simplifying -3(6x + 2) + -2(3 + -17x) = 3(7 + 5x) Reorder the terms: -3(2 + 6x) + -2(3 + -17x) = 3(7 + 5x) (2 * -3 + 6x * -3) + -2(3 + -17x) = 3(7 + 5x) (-6 + -18x) + -2(3 + -17x) = 3(7 + 5x) -6 + -18x + (3 * -2 + -17x * -2) = 3(7 + 5x) -6 + -18x + (-6 + 34x) = 3(7 + 5x) Reorder the terms: -6 + -6 + -18x + 34x = 3(7 + 5x) Combine like terms: -6 + -6 = -12 -12 + -18x + 34x = 3(7 + 5x) Combine like terms: -18x + 34x = 16x -12 + 16x = 3(7 + 5x) -12 + 16x = (7 * 3 + 5x * 3) -12 + 16x = (21 + 15x) Solving -12 + 16x = 21 + 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. -12 + 16x + -15x = 21 + 15x + -15x Combine like terms: 16x + -15x = 1x -12 + 1x = 21 + 15x + -15x Combine like terms: 15x + -15x = 0 -12 + 1x = 21 + 0 -12 + 1x = 21 Add '12' to each side of the equation. -12 + 12 + 1x = 21 + 12 Combine like terms: -12 + 12 = 0 0 + 1x = 21 + 12 1x = 21 + 12 Combine like terms: 21 + 12 = 33 1x = 33 Divide each side by '1'. x = 33 Simplifying x = 33
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