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Simplifying -3(6x + 5) + -2(3 + -14x) = 3(8 + 3x) Reorder the terms: -3(5 + 6x) + -2(3 + -14x) = 3(8 + 3x) (5 * -3 + 6x * -3) + -2(3 + -14x) = 3(8 + 3x) (-15 + -18x) + -2(3 + -14x) = 3(8 + 3x) -15 + -18x + (3 * -2 + -14x * -2) = 3(8 + 3x) -15 + -18x + (-6 + 28x) = 3(8 + 3x) Reorder the terms: -15 + -6 + -18x + 28x = 3(8 + 3x) Combine like terms: -15 + -6 = -21 -21 + -18x + 28x = 3(8 + 3x) Combine like terms: -18x + 28x = 10x -21 + 10x = 3(8 + 3x) -21 + 10x = (8 * 3 + 3x * 3) -21 + 10x = (24 + 9x) Solving -21 + 10x = 24 + 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. -21 + 10x + -9x = 24 + 9x + -9x Combine like terms: 10x + -9x = 1x -21 + 1x = 24 + 9x + -9x Combine like terms: 9x + -9x = 0 -21 + 1x = 24 + 0 -21 + 1x = 24 Add '21' to each side of the equation. -21 + 21 + 1x = 24 + 21 Combine like terms: -21 + 21 = 0 0 + 1x = 24 + 21 1x = 24 + 21 Combine like terms: 24 + 21 = 45 1x = 45 Divide each side by '1'. x = 45 Simplifying x = 45
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