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Simplifying 5[x + -1(3 + -1x) + -2] = 5(9 + -1x) 5[x + (3 * -1 + -1x * -1) + -2] = 5(9 + -1x) 5[x + (-3 + 1x) + -2] = 5(9 + -1x) Reorder the terms: 5[-3 + -2 + x + 1x] = 5(9 + -1x) Combine like terms: -3 + -2 = -5 5[-5 + x + 1x] = 5(9 + -1x) Combine like terms: x + 1x = 2x 5[-5 + 2x] = 5(9 + -1x) [-5 * 5 + 2x * 5] = 5(9 + -1x) [-25 + 10x] = 5(9 + -1x) -25 + 10x = (9 * 5 + -1x * 5) -25 + 10x = (45 + -5x) Solving -25 + 10x = 45 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -25 + 10x + 5x = 45 + -5x + 5x Combine like terms: 10x + 5x = 15x -25 + 15x = 45 + -5x + 5x Combine like terms: -5x + 5x = 0 -25 + 15x = 45 + 0 -25 + 15x = 45 Add '25' to each side of the equation. -25 + 25 + 15x = 45 + 25 Combine like terms: -25 + 25 = 0 0 + 15x = 45 + 25 15x = 45 + 25 Combine like terms: 45 + 25 = 70 15x = 70 Divide each side by '15'. x = 4.666666667 Simplifying x = 4.666666667
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