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Simplifying 7(x + 4) + -7(6x + -9) = 13 Reorder the terms: 7(4 + x) + -7(6x + -9) = 13 (4 * 7 + x * 7) + -7(6x + -9) = 13 (28 + 7x) + -7(6x + -9) = 13 Reorder the terms: 28 + 7x + -7(-9 + 6x) = 13 28 + 7x + (-9 * -7 + 6x * -7) = 13 28 + 7x + (63 + -42x) = 13 Reorder the terms: 28 + 63 + 7x + -42x = 13 Combine like terms: 28 + 63 = 91 91 + 7x + -42x = 13 Combine like terms: 7x + -42x = -35x 91 + -35x = 13 Solving 91 + -35x = 13 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-91' to each side of the equation. 91 + -91 + -35x = 13 + -91 Combine like terms: 91 + -91 = 0 0 + -35x = 13 + -91 -35x = 13 + -91 Combine like terms: 13 + -91 = -78 -35x = -78 Divide each side by '-35'. x = 2.228571429 Simplifying x = 2.228571429
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