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Simplifying 9(-3x + 4 + -46) + 3 = 7(4 + -3x + 4 + 3) Reorder the terms: 9(4 + -46 + -3x) + 3 = 7(4 + -3x + 4 + 3) Combine like terms: 4 + -46 = -42 9(-42 + -3x) + 3 = 7(4 + -3x + 4 + 3) (-42 * 9 + -3x * 9) + 3 = 7(4 + -3x + 4 + 3) (-378 + -27x) + 3 = 7(4 + -3x + 4 + 3) Reorder the terms: -378 + 3 + -27x = 7(4 + -3x + 4 + 3) Combine like terms: -378 + 3 = -375 -375 + -27x = 7(4 + -3x + 4 + 3) Reorder the terms: -375 + -27x = 7(4 + 4 + 3 + -3x) Combine like terms: 4 + 4 = 8 -375 + -27x = 7(8 + 3 + -3x) Combine like terms: 8 + 3 = 11 -375 + -27x = 7(11 + -3x) -375 + -27x = (11 * 7 + -3x * 7) -375 + -27x = (77 + -21x) Solving -375 + -27x = 77 + -21x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '21x' to each side of the equation. -375 + -27x + 21x = 77 + -21x + 21x Combine like terms: -27x + 21x = -6x -375 + -6x = 77 + -21x + 21x Combine like terms: -21x + 21x = 0 -375 + -6x = 77 + 0 -375 + -6x = 77 Add '375' to each side of the equation. -375 + 375 + -6x = 77 + 375 Combine like terms: -375 + 375 = 0 0 + -6x = 77 + 375 -6x = 77 + 375 Combine like terms: 77 + 375 = 452 -6x = 452 Divide each side by '-6'. x = -75.33333333 Simplifying x = -75.33333333
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