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Simplifying 4x + 5[7x + -3] = 9[x + -5] Reorder the terms: 4x + 5[-3 + 7x] = 9[x + -5] 4x + [-3 * 5 + 7x * 5] = 9[x + -5] 4x + [-15 + 35x] = 9[x + -5] Reorder the terms: -15 + 4x + 35x = 9[x + -5] Combine like terms: 4x + 35x = 39x -15 + 39x = 9[x + -5] Reorder the terms: -15 + 39x = 9[-5 + x] -15 + 39x = [-5 * 9 + x * 9] -15 + 39x = [-45 + 9x] Solving -15 + 39x = -45 + 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. -15 + 39x + -9x = -45 + 9x + -9x Combine like terms: 39x + -9x = 30x -15 + 30x = -45 + 9x + -9x Combine like terms: 9x + -9x = 0 -15 + 30x = -45 + 0 -15 + 30x = -45 Add '15' to each side of the equation. -15 + 15 + 30x = -45 + 15 Combine like terms: -15 + 15 = 0 0 + 30x = -45 + 15 30x = -45 + 15 Combine like terms: -45 + 15 = -30 30x = -30 Divide each side by '30'. x = -1 Simplifying x = -1
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