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Simplifying -7(x + 3) + 7(7x + -1) = -70 Reorder the terms: -7(3 + x) + 7(7x + -1) = -70 (3 * -7 + x * -7) + 7(7x + -1) = -70 (-21 + -7x) + 7(7x + -1) = -70 Reorder the terms: -21 + -7x + 7(-1 + 7x) = -70 -21 + -7x + (-1 * 7 + 7x * 7) = -70 -21 + -7x + (-7 + 49x) = -70 Reorder the terms: -21 + -7 + -7x + 49x = -70 Combine like terms: -21 + -7 = -28 -28 + -7x + 49x = -70 Combine like terms: -7x + 49x = 42x -28 + 42x = -70 Solving -28 + 42x = -70 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '28' to each side of the equation. -28 + 28 + 42x = -70 + 28 Combine like terms: -28 + 28 = 0 0 + 42x = -70 + 28 42x = -70 + 28 Combine like terms: -70 + 28 = -42 42x = -42 Divide each side by '42'. x = -1 Simplifying x = -1
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