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Simplifying 3(2x + -1) = 7x + -1(3 + -5x) + (-1x + 24) Reorder the terms: 3(-1 + 2x) = 7x + -1(3 + -5x) + (-1x + 24) (-1 * 3 + 2x * 3) = 7x + -1(3 + -5x) + (-1x + 24) (-3 + 6x) = 7x + -1(3 + -5x) + (-1x + 24) -3 + 6x = 7x + (3 * -1 + -5x * -1) + (-1x + 24) -3 + 6x = 7x + (-3 + 5x) + (-1x + 24) Reorder the terms: -3 + 6x = 7x + -3 + 5x + (24 + -1x) Remove parenthesis around (24 + -1x) -3 + 6x = 7x + -3 + 5x + 24 + -1x Reorder the terms: -3 + 6x = -3 + 24 + 7x + 5x + -1x Combine like terms: -3 + 24 = 21 -3 + 6x = 21 + 7x + 5x + -1x Combine like terms: 7x + 5x = 12x -3 + 6x = 21 + 12x + -1x Combine like terms: 12x + -1x = 11x -3 + 6x = 21 + 11x Solving -3 + 6x = 21 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. -3 + 6x + -11x = 21 + 11x + -11x Combine like terms: 6x + -11x = -5x -3 + -5x = 21 + 11x + -11x Combine like terms: 11x + -11x = 0 -3 + -5x = 21 + 0 -3 + -5x = 21 Add '3' to each side of the equation. -3 + 3 + -5x = 21 + 3 Combine like terms: -3 + 3 = 0 0 + -5x = 21 + 3 -5x = 21 + 3 Combine like terms: 21 + 3 = 24 -5x = 24 Divide each side by '-5'. x = -4.8 Simplifying x = -4.8
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