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Simplifying 9(3x + 4) = -7(x + -10) Reorder the terms: 9(4 + 3x) = -7(x + -10) (4 * 9 + 3x * 9) = -7(x + -10) (36 + 27x) = -7(x + -10) Reorder the terms: 36 + 27x = -7(-10 + x) 36 + 27x = (-10 * -7 + x * -7) 36 + 27x = (70 + -7x) Solving 36 + 27x = 70 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. 36 + 27x + 7x = 70 + -7x + 7x Combine like terms: 27x + 7x = 34x 36 + 34x = 70 + -7x + 7x Combine like terms: -7x + 7x = 0 36 + 34x = 70 + 0 36 + 34x = 70 Add '-36' to each side of the equation. 36 + -36 + 34x = 70 + -36 Combine like terms: 36 + -36 = 0 0 + 34x = 70 + -36 34x = 70 + -36 Combine like terms: 70 + -36 = 34 34x = 34 Divide each side by '34'. x = 1 Simplifying x = 1
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