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Simplifying 2(5X + 11) + 7 = 3(X + -7) + -15 Reorder the terms: 2(11 + 5X) + 7 = 3(X + -7) + -15 (11 * 2 + 5X * 2) + 7 = 3(X + -7) + -15 (22 + 10X) + 7 = 3(X + -7) + -15 Reorder the terms: 22 + 7 + 10X = 3(X + -7) + -15 Combine like terms: 22 + 7 = 29 29 + 10X = 3(X + -7) + -15 Reorder the terms: 29 + 10X = 3(-7 + X) + -15 29 + 10X = (-7 * 3 + X * 3) + -15 29 + 10X = (-21 + 3X) + -15 Reorder the terms: 29 + 10X = -21 + -15 + 3X Combine like terms: -21 + -15 = -36 29 + 10X = -36 + 3X Solving 29 + 10X = -36 + 3X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-3X' to each side of the equation. 29 + 10X + -3X = -36 + 3X + -3X Combine like terms: 10X + -3X = 7X 29 + 7X = -36 + 3X + -3X Combine like terms: 3X + -3X = 0 29 + 7X = -36 + 0 29 + 7X = -36 Add '-29' to each side of the equation. 29 + -29 + 7X = -36 + -29 Combine like terms: 29 + -29 = 0 0 + 7X = -36 + -29 7X = -36 + -29 Combine like terms: -36 + -29 = -65 7X = -65 Divide each side by '7'. X = -9.285714286 Simplifying X = -9.285714286
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