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Simplifying -3(6x + 2) + -2(5 + -14x) = 3(3 + 3x) Reorder the terms: -3(2 + 6x) + -2(5 + -14x) = 3(3 + 3x) (2 * -3 + 6x * -3) + -2(5 + -14x) = 3(3 + 3x) (-6 + -18x) + -2(5 + -14x) = 3(3 + 3x) -6 + -18x + (5 * -2 + -14x * -2) = 3(3 + 3x) -6 + -18x + (-10 + 28x) = 3(3 + 3x) Reorder the terms: -6 + -10 + -18x + 28x = 3(3 + 3x) Combine like terms: -6 + -10 = -16 -16 + -18x + 28x = 3(3 + 3x) Combine like terms: -18x + 28x = 10x -16 + 10x = 3(3 + 3x) -16 + 10x = (3 * 3 + 3x * 3) -16 + 10x = (9 + 9x) Solving -16 + 10x = 9 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -16 + 10x + -9x = 9 + 9x + -9x Combine like terms: 10x + -9x = 1x -16 + 1x = 9 + 9x + -9x Combine like terms: 9x + -9x = 0 -16 + 1x = 9 + 0 -16 + 1x = 9 Add '16' to each side of the equation. -16 + 16 + 1x = 9 + 16 Combine like terms: -16 + 16 = 0 0 + 1x = 9 + 16 1x = 9 + 16 Combine like terms: 9 + 16 = 25 1x = 25 Divide each side by '1'. x = 25 Simplifying x = 25
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