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Simplifying 7(x + 6) + -3(7x + -7) = 19 Reorder the terms: 7(6 + x) + -3(7x + -7) = 19 (6 * 7 + x * 7) + -3(7x + -7) = 19 (42 + 7x) + -3(7x + -7) = 19 Reorder the terms: 42 + 7x + -3(-7 + 7x) = 19 42 + 7x + (-7 * -3 + 7x * -3) = 19 42 + 7x + (21 + -21x) = 19 Reorder the terms: 42 + 21 + 7x + -21x = 19 Combine like terms: 42 + 21 = 63 63 + 7x + -21x = 19 Combine like terms: 7x + -21x = -14x 63 + -14x = 19 Solving 63 + -14x = 19 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-63' to each side of the equation. 63 + -63 + -14x = 19 + -63 Combine like terms: 63 + -63 = 0 0 + -14x = 19 + -63 -14x = 19 + -63 Combine like terms: 19 + -63 = -44 -14x = -44 Divide each side by '-14'. x = 3.142857143 Simplifying x = 3.142857143
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