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Simplifying 3x + -1[-2(x + -7) + 3x + 9] = 5(2x + 5) + 1 + -4(1 + -3x) Reorder the terms: 3x + -1[-2(-7 + x) + 3x + 9] = 5(2x + 5) + 1 + -4(1 + -3x) 3x + -1[(-7 * -2 + x * -2) + 3x + 9] = 5(2x + 5) + 1 + -4(1 + -3x) 3x + -1[(14 + -2x) + 3x + 9] = 5(2x + 5) + 1 + -4(1 + -3x) Reorder the terms: 3x + -1[14 + 9 + -2x + 3x] = 5(2x + 5) + 1 + -4(1 + -3x) Combine like terms: 14 + 9 = 23 3x + -1[23 + -2x + 3x] = 5(2x + 5) + 1 + -4(1 + -3x) Combine like terms: -2x + 3x = 1x 3x + -1[23 + 1x] = 5(2x + 5) + 1 + -4(1 + -3x) 3x + [23 * -1 + 1x * -1] = 5(2x + 5) + 1 + -4(1 + -3x) 3x + [-23 + -1x] = 5(2x + 5) + 1 + -4(1 + -3x) Reorder the terms: -23 + 3x + -1x = 5(2x + 5) + 1 + -4(1 + -3x) Combine like terms: 3x + -1x = 2x -23 + 2x = 5(2x + 5) + 1 + -4(1 + -3x) Reorder the terms: -23 + 2x = 5(5 + 2x) + 1 + -4(1 + -3x) -23 + 2x = (5 * 5 + 2x * 5) + 1 + -4(1 + -3x) -23 + 2x = (25 + 10x) + 1 + -4(1 + -3x) -23 + 2x = 25 + 10x + 1 + (1 * -4 + -3x * -4) -23 + 2x = 25 + 10x + 1 + (-4 + 12x) Reorder the terms: -23 + 2x = 25 + 1 + -4 + 10x + 12x Combine like terms: 25 + 1 = 26 -23 + 2x = 26 + -4 + 10x + 12x Combine like terms: 26 + -4 = 22 -23 + 2x = 22 + 10x + 12x Combine like terms: 10x + 12x = 22x -23 + 2x = 22 + 22x Solving -23 + 2x = 22 + 22x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-22x' to each side of the equation. -23 + 2x + -22x = 22 + 22x + -22x Combine like terms: 2x + -22x = -20x -23 + -20x = 22 + 22x + -22x Combine like terms: 22x + -22x = 0 -23 + -20x = 22 + 0 -23 + -20x = 22 Add '23' to each side of the equation. -23 + 23 + -20x = 22 + 23 Combine like terms: -23 + 23 = 0 0 + -20x = 22 + 23 -20x = 22 + 23 Combine like terms: 22 + 23 = 45 -20x = 45 Divide each side by '-20'. x = -2.25 Simplifying x = -2.25
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