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Simplifying 5[x + -1(3 + -1x) + -2x] = 5(9 + -1x) 5[x + (3 * -1 + -1x * -1) + -2x] = 5(9 + -1x) 5[x + (-3 + 1x) + -2x] = 5(9 + -1x) Reorder the terms: 5[-3 + x + 1x + -2x] = 5(9 + -1x) Combine like terms: x + 1x = 2x 5[-3 + 2x + -2x] = 5(9 + -1x) Combine like terms: 2x + -2x = 0 5[-3 + 0] = 5(9 + -1x) 5[-3] = 5(9 + -1x) Multiply 5 * -3 -15 = 5(9 + -1x) -15 = (9 * 5 + -1x * 5) -15 = (45 + -5x) Solving -15 = 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. -15 + 5x = 45 + -5x + 5x Combine like terms: -5x + 5x = 0 -15 + 5x = 45 + 0 -15 + 5x = 45 Add '15' to each side of the equation. -15 + 15 + 5x = 45 + 15 Combine like terms: -15 + 15 = 0 0 + 5x = 45 + 15 5x = 45 + 15 Combine like terms: 45 + 15 = 60 5x = 60 Divide each side by '5'. x = 12 Simplifying x = 12
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